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55863863377920 = 2153351319294143
BaseRepresentation
bin11001011001110110100011…
…01110111000000000000000
321022210112101200121212111000
430230323101232320000000
524310233143011043140
6314451300552052000
714524013416635423
oct1454732156700000
9238715350555430
1055863863377920
1116888805566414
12632295a994000
132522c2a718810
14db1b7ad179ba
1566d232160a30
hex32ced1bb8000

55863863377920 has 4096 divisors, whose sum is σ = 244155098880000. Its totient is φ = 11985978654720.

The previous prime is 55863863377919. The next prime is 55863863378017. The reversal of 55863863377920 is 2977336836855.

55863863377920 is a `hidden beast` number, since 5 + 5 + 86 + 38 + 63 + 377 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

It is a super-2 number, since 2×558638633779202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1299159613419 + ... + 1299159613461.

Almost surely, 255863863377920 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 55863863377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122077549440000).

55863863377920 is an abundant number, since it is smaller than the sum of its proper divisors (188291235502080).

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

55863863377920 is a wasteful number, since it uses less digits than its factorization.

55863863377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 55863863377920 in words is "fifty-five trillion, eight hundred sixty-three billion, eight hundred sixty-three million, three hundred seventy-seven thousand, nine hundred twenty".