56452251810240 has 5376 divisors, whose sum is σ = 265444497100800. Its totient is φ = 11133517824000.

The previous prime is 56452251810239. The next prime is 56452251810259. The reversal of 56452251810240 is 4201815225465.

56452251810240 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 22 + 518 + 102 + 4 + 0 = 666.

56452251810240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 558933186190 + ... + 558933186290.

Almost surely, 2^{56452251810240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56452251810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132722248550400).

56452251810240 is an abundant number, since it is smaller than the sum of its proper divisors (208992245290560).

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

56452251810240 is a wasteful number, since it uses less digits than its factorization.

56452251810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 56452251810240 in words is "fifty-six trillion, four hundred fifty-two billion, two hundred fifty-one million, eight hundred ten thousand, two hundred forty".