56536028640 has 288 divisors, whose sum is σ = 237451870656. Its totient is φ = 11928453120.

The previous prime is 56536028639. The next prime is 56536028693. The reversal of 56536028640 is 4682063565.

56536028640 is a `hidden beast` number, since 5 + 6 + 5 + 360 + 286 + 4 + 0 = 666.

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

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

It is a congruent number.

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, 84681 + ... + 346760.

It is an arithmetic number, because the mean of its divisors is an integer number (824485662).

Almost surely, 2^56536028640 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 56536028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118725935328).

56536028640 is an abundant number, since it is smaller than the sum of its proper divisors (180915842016).

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

56536028640 is a wasteful number, since it uses less digits than its factorization.

56536028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431482 (or 431471 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 56536028640 in words is "fifty-six billion, five hundred thirty-six million, twenty-eight thousand, six hundred forty".