56837399040 has 480 divisors, whose sum is σ = 205666162416. Its totient is φ = 14491975680.

The previous prime is 56837399009. The next prime is 56837399041. The reversal of 56837399040 is 4099373865.

56837399040 is a `hidden beast` number, since 568 + 3 + 7 + 39 + 9 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38786939136 + 18050459904 = 196944^2 + 134352^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (56837399041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52000734 + ... + 52001826.

Almost surely, 2^56837399040 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 56837399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102833081208).

56837399040 is an abundant number, since it is smaller than the sum of its proper divisors (148828763376).

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

56837399040 is a wasteful number, since it uses less digits than its factorization.

56837399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 56837399040 in words is "fifty-six billion, eight hundred thirty-seven million, three hundred ninety-nine thousand, forty".