56635287840 has 288 divisors, whose sum is σ = 211695709680. Its totient is φ = 13724024832.

The previous prime is 56635287773. The next prime is 56635287851. The reversal of 56635287840 is 4878253665.

56635287840 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 528 + 78 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 45466179984 + 11169107856 = 213228^2 + 105684^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670032 + ... + 749808.

Almost surely, 2^56635287840 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 56635287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105847854840).

56635287840 is an abundant number, since it is smaller than the sum of its proper divisors (155060421840).

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

56635287840 is a wasteful number, since it uses less digits than its factorization.

56635287840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79844 (or 79833 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 56635287840 in words is "fifty-six billion, six hundred thirty-five million, two hundred eighty-seven thousand, eight hundred forty".