56510754608 has 320 divisors, whose sum is σ = 145910661120. Its totient is φ = 20563200000.

The previous prime is 56510754557. The next prime is 56510754647. The reversal of 56510754608 is 80645701565.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236446553 + ... + 236446791.

It is an arithmetic number, because the mean of its divisors is an integer number (455970816).

Almost surely, 2^56510754608 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 56510754608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72955330560).

56510754608 is an abundant number, since it is smaller than the sum of its proper divisors (89399906512).

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

56510754608 is a wasteful number, since it uses less digits than its factorization.

56510754608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 47.

It can be divided in two parts, 56510 and 754608, that added together give a palindrome (811118).

The spelling of 56510754608 in words is "fifty-six billion, five hundred ten million, seven hundred fifty-four thousand, six hundred eight".