56298175718400 has 3960 divisors, whose sum is σ = 280202311056096. Its totient is φ = 11006469734400.

The previous prime is 56298175718399. The next prime is 56298175718429. The reversal of 56298175718400 is 481757189265.

56298175718400 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 8 + 17 + 571 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 19000395319 + ... + 19000398281.

Almost surely, 2^{56298175718400} is an apocalyptic number.

56298175718400 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 56298175718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140101155528048).

56298175718400 is an abundant number, since it is smaller than the sum of its proper divisors (223904135337696).

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

56298175718400 is a wasteful number, since it uses less digits than its factorization.

56298175718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 56298175718400 in words is "fifty-six trillion, two hundred ninety-eight billion, one hundred seventy-five million, seven hundred eighteen thousand, four hundred".