56406804480 has 864 divisors, whose sum is σ = 222558499800. Its totient is φ = 13131841536.

The previous prime is 56406804379. The next prime is 56406804541. The reversal of 56406804480 is 8440860465.

56406804480 is a `hidden beast` number, since 56 + 40 + 6 + 80 + 4 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25980281856 + 30426522624 = 161184^2 + 174432^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 633784276 + ... + 633784364.

Almost surely, 2^56406804480 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 56406804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111279249900).

56406804480 is an abundant number, since it is smaller than the sum of its proper divisors (166151695320).

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

56406804480 is a wasteful number, since it uses less digits than its factorization.

56406804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 56406804480 in words is "fifty-six billion, four hundred six million, eight hundred four thousand, four hundred eighty".