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5638085806080 = 2113571317314389
BaseRepresentation
bin101001000001011100000…
…0110100000100000000000
3201221222212220010120222210
41102002320012200200000
51214333244431243310
615554033441502120
71121224010423520
oct122027006404000
921858786116883
105638085806080
11188410a4a8952
12770847641940
1331b8913409b0
14156c55cb7680
159b9d5eb2820
hex520b81a0800

5638085806080 has 3072 divisors, whose sum is σ = 25107347865600. Its totient is φ = 1046394961920.

The previous prime is 5638085806079. The next prime is 5638085806081. The reversal of 5638085806080 is 806085808365.

It is an interprime number because it is at equal distance from previous prime (5638085806079) and next prime (5638085806081).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5638085806080.

It is not an unprimeable number, because it can be changed into a prime (5638085806081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63349278676 + ... + 63349278764.

It is an arithmetic number, because the mean of its divisors is an integer number (8172964800).

Almost surely, 25638085806080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5638085806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553673932800).

5638085806080 is an abundant number, since it is smaller than the sum of its proper divisors (19469262059520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5638085806080 is a wasteful number, since it uses less digits than its factorization.

5638085806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 5638085806080 in words is "five trillion, six hundred thirty-eight billion, eighty-five million, eight hundred six thousand, eighty".