56425420800 has 1440 divisors, whose sum is σ = 256012520400. Its totient is φ = 12138577920.

The previous prime is 56425420789. The next prime is 56425420819. The reversal of 56425420800 is 802452465.

It is a happy number.

56425420800 is a `hidden beast` number, since 5 + 642 + 5 + 4 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×56425420800² (a number of 22 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 3319142392 + ... + 3319142408.

Almost surely, 2^56425420800 is an apocalyptic number.

56425420800 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 56425420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128006260200).

56425420800 is an abundant number, since it is smaller than the sum of its proper divisors (199587099600).

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

56425420800 is an equidigital number, since it uses as much as digits as its factorization.

56425420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

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

The spelling of 56425420800 in words is "fifty-six billion, four hundred twenty-five million, four hundred twenty thousand, eight hundred".