56420582400 has 1980 divisors, whose sum is σ = 269784643392. Its totient is φ = 11386552320.

The previous prime is 56420582341. The next prime is 56420582417. The reversal of 56420582400 is 428502465.

It is a happy number.

56420582400 is a `hidden beast` number, since 5 + 642 + 0 + 5 + 8 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2453068789 + ... + 2453068811.

Almost surely, 2^56420582400 is an apocalyptic number.

56420582400 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 56420582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134892321696).

56420582400 is an abundant number, since it is smaller than the sum of its proper divisors (213364060992).

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

56420582400 is a wasteful number, since it uses less digits than its factorization.

56420582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 56420582400 in words is "fifty-six billion, four hundred twenty million, five hundred eighty-two thousand, four hundred".