56826945302400 has 1728 divisors, whose sum is σ = 254475917186400. Its totient is φ = 11968421068800.

The previous prime is 56826945302383. The next prime is 56826945302411. The reversal of 56826945302400 is 420354962865.

56826945302400 is a `hidden beast` number, since 5 + 6 + 8 + 2 + 69 + 4 + 530 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×56826945302400² (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 215 ways as a sum of consecutive naturals, for example, 11576071146 + ... + 11576076054.

Almost surely, 2^{56826945302400} is an apocalyptic number.

56826945302400 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 56826945302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127237958593200).

56826945302400 is an abundant number, since it is smaller than the sum of its proper divisors (197648971884000).

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

56826945302400 is a wasteful number, since it uses less digits than its factorization.

56826945302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 56826945302400 in words is "fifty-six trillion, eight hundred twenty-six billion, nine hundred forty-five million, three hundred two thousand, four hundred".