55826974764800 has 216 divisors, whose sum is σ = 138614084995344. Its totient is φ = 22260824801280.

The previous prime is 55826974764761. The next prime is 55826974764857. The reversal of 55826974764800 is 846747962855.

55826974764800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55826974764800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2855151824 + ... + 2855171376.

Almost surely, 2^{55826974764800} is an apocalyptic number.

55826974764800 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 55826974764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69307042497672).

55826974764800 is an abundant number, since it is smaller than the sum of its proper divisors (82787110230544).

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

55826974764800 is a wasteful number, since it uses less digits than its factorization.

55826974764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20955 (or 20936 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 71.

The spelling of 55826974764800 in words is "fifty-five trillion, eight hundred twenty-six billion, nine hundred seventy-four million, seven hundred sixty-four thousand, eight hundred".