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55865026369152 = 27327111327173719
BaseRepresentation
bin11001011001111000101110…
…00011010101011010000000
321022210122101201222221112100
430230330113003111122000
524310243033222303102
6314452012215030400
714524054301124420
oct1454742703253200
9238718351887470
1055865026369152
1116889251a949a0
12632302436b400
132523084652b00
14db1c4b572480
1566d29e2daa1c
hex32cf170d5680

55865026369152 has 2304 divisors, whose sum is σ = 223409979187200. Its totient is φ = 13006548172800.

The previous prime is 55865026369147. The next prime is 55865026369237. The reversal of 55865026369152 is 25196362056855.

55865026369152 is a `hidden beast` number, since 5 + 5 + 8 + 6 + 502 + 6 + 36 + 91 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 55865026369152.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77698228249 + ... + 77698228967.

It is an arithmetic number, because the mean of its divisors is an integer number (96966136800).

Almost surely, 255865026369152 is an apocalyptic number.

55865026369152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55865026369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111704989593600).

55865026369152 is an abundant number, since it is smaller than the sum of its proper divisors (167544952818048).

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

55865026369152 is a wasteful number, since it uses less digits than its factorization.

55865026369152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 55865026369152 in words is "fifty-five trillion, eight hundred sixty-five billion, twenty-six million, three hundred sixty-nine thousand, one hundred fifty-two".