56470814400 has 2016 divisors, whose sum is σ = 267825858048. Its totient is φ = 10218700800.

The previous prime is 56470814357. The next prime is 56470814431. The reversal of 56470814400 is 441807465.

56470814400 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 773572764 + ... + 773572836.

It is an arithmetic number, because the mean of its divisors is an integer number (132850128).

Almost surely, 2^56470814400 is an apocalyptic number.

56470814400 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 56470814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133912929024).

56470814400 is an abundant number, since it is smaller than the sum of its proper divisors (211355043648).

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

56470814400 is a wasteful number, since it uses less digits than its factorization.

56470814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 56470814400 in words is "fifty-six billion, four hundred seventy million, eight hundred fourteen thousand, four hundred".