56499325502400 has 2016 divisors, whose sum is σ = 231070177228800. Its totient is φ = 13416606720000.

The previous prime is 56499325502359. The next prime is 56499325502413. The reversal of 56499325502400 is 420552399465.

56499325502400 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 93 + 2 + 5 + 502 + 40 + 0 = 666.

It is a super-2 number, since 2×56499325502400² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54378561081 + ... + 54378562119.

Almost surely, 2^{56499325502400} is an apocalyptic number.

56499325502400 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 56499325502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115535088614400).

56499325502400 is an abundant number, since it is smaller than the sum of its proper divisors (174570851726400).

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

56499325502400 is a wasteful number, since it uses less digits than its factorization.

56499325502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 56499325502400 in words is "fifty-six trillion, four hundred ninety-nine billion, three hundred twenty-five million, five hundred two thousand, four hundred".