56446770400 has 36 divisors (see below), whose sum is σ = 137800680192. Its totient is φ = 22578707840.

The previous prime is 56446770397. The next prime is 56446770433. The reversal of 56446770400 is 407764465.

56446770400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35278432 + ... + 35280031.

It is an arithmetic number, because the mean of its divisors is an integer number (3827796672).

Almost surely, 2^56446770400 is an apocalyptic number.

56446770400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56446770400 is an abundant number, since it is smaller than the sum of its proper divisors (81353909792).

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

56446770400 is a wasteful number, since it uses less digits than its factorization.

56446770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70558483 (or 70558470 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 56446770400 in words is "fifty-six billion, four hundred forty-six million, seven hundred seventy thousand, four hundred".