56635871040 has 672 divisors, whose sum is σ = 230973050880. Its totient is φ = 12469137408.

The previous prime is 56635870939. The next prime is 56635871041. The reversal of 56635871040 is 4017853665.

56635871040 is a `hidden beast` number, since 5 + 6 + 63 + 587 + 1 + 0 + 4 + 0 = 666.

56635871040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×56635871040³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56635871041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68483107 + ... + 68483933.

Almost surely, 2^56635871040 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 56635871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115486525440).

56635871040 is an abundant number, since it is smaller than the sum of its proper divisors (174337179840).

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

56635871040 is a wasteful number, since it uses less digits than its factorization.

56635871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 56635871040 in words is "fifty-six billion, six hundred thirty-five million, eight hundred seventy-one thousand, forty".