56478873600 has 648 divisors, whose sum is σ = 213995756520. Its totient is φ = 14208860160.

The previous prime is 56478873589. The next prime is 56478873601. The reversal of 56478873600 is 637887465.

56478873600 is a `hidden beast` number, since 564 + 7 + 8 + 8 + 73 + 6 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56478873601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 773683164 + ... + 773683236.

It is an arithmetic number, because the mean of its divisors is an integer number (330240365).

Almost surely, 2^56478873600 is an apocalyptic number.

56478873600 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 56478873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106997878260).

56478873600 is an abundant number, since it is smaller than the sum of its proper divisors (157516882920).

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

56478873600 is a wasteful number, since it uses less digits than its factorization.

56478873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 56478873600 in words is "fifty-six billion, four hundred seventy-eight million, eight hundred seventy-three thousand, six hundred".