56053002240 has 416 divisors, whose sum is σ = 200798760960. Its totient is φ = 14833483776.

The previous prime is 56053002227. The next prime is 56053002289. The reversal of 56053002240 is 4220035065.

56053002240 is a `hidden beast` number, since 5 + 605 + 30 + 0 + 2 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92344017 + ... + 92344623.

Almost surely, 2^56053002240 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 56053002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100399380480).

56053002240 is an abundant number, since it is smaller than the sum of its proper divisors (144745758720).

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

56053002240 is a wasteful number, since it uses less digits than its factorization.

56053002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 56053002240 in words is "fifty-six billion, fifty-three million, two thousand, two hundred forty".