56828090880 has 480 divisors, whose sum is σ = 224061552000. Its totient is φ = 13176176640.

The previous prime is 56828090797. The next prime is 56828090881. The reversal of 56828090880 is 8809082865.

56828090880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (56828090881) 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, 5824246 + ... + 5833994.

It is an arithmetic number, because the mean of its divisors is an integer number (466794900).

Almost surely, 2^56828090880 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 56828090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112030776000).

56828090880 is an abundant number, since it is smaller than the sum of its proper divisors (167233461120).

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

56828090880 is a wasteful number, since it uses less digits than its factorization.

56828090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9812 (or 9793 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 56828090880 in words is "fifty-six billion, eight hundred twenty-eight million, ninety thousand, eight hundred eighty".