56120993510400 has 1056 divisors, whose sum is σ = 253651985511680. Its totient is φ = 11840899645440.

The previous prime is 56120993510353. The next prime is 56120993510401. The reversal of 56120993510400 is 401539902165.

56120993510400 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 0 + 9 + 93 + 510 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56120993510401) 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, 62453082 + ... + 63345318.

Almost surely, 2^{56120993510400} is an apocalyptic number.

56120993510400 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 56120993510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126825992755840).

56120993510400 is an abundant number, since it is smaller than the sum of its proper divisors (197530992001280).

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

56120993510400 is a wasteful number, since it uses less digits than its factorization.

56120993510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892296 (or 892267 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 56120993510400 in words is "fifty-six trillion, one hundred twenty billion, nine hundred ninety-three million, five hundred ten thousand, four hundred".