56499962400 has 1080 divisors, whose sum is σ = 250726202496. Its totient is φ = 12126412800.

The previous prime is 56499962381. The next prime is 56499962419. The reversal of 56499962400 is 426999465.

It is a happy number.

56499962400 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 9 + 9 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56499962381) and next prime (56499962419).

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 131090185 + ... + 131090615.

Almost surely, 2^56499962400 is an apocalyptic number.

56499962400 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 56499962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125363101248).

56499962400 is an abundant number, since it is smaller than the sum of its proper divisors (194226240096).

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

56499962400 is a wasteful number, since it uses less digits than its factorization.

56499962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 56499962400 in words is "fifty-six billion, four hundred ninety-nine million, nine hundred sixty-two thousand, four hundred".