56583152640 has 1056 divisors, whose sum is σ = 238196125440. Its totient is φ = 12612796416.

The previous prime is 56583152629. The next prime is 56583152641. The reversal of 56583152640 is 4625138565.

56583152640 is a `hidden beast` number, since 5 + 6 + 5 + 83 + 1 + 526 + 40 = 666.

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 (56583152641) 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, 635765716 + ... + 635765804.

Almost surely, 2^56583152640 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 56583152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119098062720).

56583152640 is an abundant number, since it is smaller than the sum of its proper divisors (181612972800).

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

56583152640 is an equidigital number, since it uses as much as digits as its factorization.

56583152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 56583152640 in words is "fifty-six billion, five hundred eighty-three million, one hundred fifty-two thousand, six hundred forty".