55769968800 has 1152 divisors, whose sum is σ = 263008166400. Its totient is φ = 11068047360.

The previous prime is 55769968789. The next prime is 55769968841. The reversal of 55769968800 is 886996755.

It is a super-2 number, since 2×55769968800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33414366 + ... + 33416034.

It is an arithmetic number, because the mean of its divisors is an integer number (228305700).

Almost surely, 2^55769968800 is an apocalyptic number.

55769968800 is a gapful number since it is divisible by the number (50) 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 55769968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131504083200).

55769968800 is an abundant number, since it is smaller than the sum of its proper divisors (207238197600).

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

55769968800 is a wasteful number, since it uses less digits than its factorization.

55769968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 55769968800 in words is "fifty-five billion, seven hundred sixty-nine million, nine hundred sixty-eight thousand, eight hundred".