56426913792000 has 2176 divisors, whose sum is σ = 227698638336000. Its totient is φ = 13733933875200.

The previous prime is 56426913791993. The next prime is 56426913792013. The reversal of 56426913792000 is 29731962465.

56426913792000 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 69 + 1 + 379 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121872383769 + ... + 121872384231.

Almost surely, 2^{56426913792000} is an apocalyptic number.

56426913792000 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 56426913792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113849319168000).

56426913792000 is an abundant number, since it is smaller than the sum of its proper divisors (171271724544000).

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

56426913792000 is an equidigital number, since it uses as much as digits as its factorization.

56426913792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 56426913792000 in words is "fifty-six trillion, four hundred twenty-six billion, nine hundred thirteen million, seven hundred ninety-two thousand".