56475095040 has 1404 divisors, whose sum is σ = 253245111444. Its totient is φ = 11593580544.

The previous prime is 56475094939. The next prime is 56475095041. The reversal of 56475095040 is 4059057465.

56475095040 is a `hidden beast` number, since 56 + 4 + 7 + 509 + 50 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3036450816 + 53438644224 = 55104^2 + 231168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (56475095041) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1526353902 + ... + 1526353938.

It is an arithmetic number, because the mean of its divisors is an integer number (180374011).

Almost surely, 2^56475095040 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 56475095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126622555722).

56475095040 is an abundant number, since it is smaller than the sum of its proper divisors (196770016404).

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

56475095040 is a wasteful number, since it uses less digits than its factorization.

56475095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 56475095040 in words is "fifty-six billion, four hundred seventy-five million, ninety-five thousand, forty".