56088854976 has 336 divisors, whose sum is σ = 187190115840. Its totient is φ = 14508595200.

The previous prime is 56088854947. The next prime is 56088854977. The reversal of 56088854976 is 67945888065.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56088854977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50575510 + ... + 50576618.

It is an arithmetic number, because the mean of its divisors is an integer number (557113440).

Almost surely, 2^56088854976 is an apocalyptic number.

56088854976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56088854976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93595057920).

56088854976 is an abundant number, since it is smaller than the sum of its proper divisors (131101260864).

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

56088854976 is a wasteful number, since it uses less digits than its factorization.

56088854976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 66.

The spelling of 56088854976 in words is "fifty-six billion, eighty-eight million, eight hundred fifty-four thousand, nine hundred seventy-six".