55864399772160 has 960 divisors, whose sum is σ = 225576070207488. Its totient is φ = 12511911739392.

The previous prime is 55864399772149. The next prime is 55864399772161. The reversal of 55864399772160 is 6127799346855.

55864399772160 is a `hidden beast` number, since 5 + 5 + 8 + 6 + 4 + 399 + 7 + 72 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×55864399772160² (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 not an unprimeable number, because it can be changed into a prime (55864399772161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7376782134 + ... + 7376789706.

It is a 1-persistent number, because it is pandigital, but 2⋅55864399772160 = 111728799544320 is not.

Almost surely, 2^{55864399772160} 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 55864399772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112788035103744).

55864399772160 is an abundant number, since it is smaller than the sum of its proper divisors (169711670435328).

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

55864399772160 is a wasteful number, since it uses less digits than its factorization.

55864399772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 55864399772160 in words is "fifty-five trillion, eight hundred sixty-four billion, three hundred ninety-nine million, seven hundred seventy-two thousand, one hundred sixty".