56093618880 has 896 divisors, whose sum is σ = 233654803200. Its totient is φ = 12534939648.

The previous prime is 56093618879. The next prime is 56093618881. The reversal of 56093618880 is 8881639065.

It is an interprime number because it is at equal distance from previous prime (56093618879) and next prime (56093618881).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56093618881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55373254 + ... + 55374266.

It is an arithmetic number, because the mean of its divisors is an integer number (260775450).

Almost surely, 2^56093618880 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 56093618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116827401600).

56093618880 is an abundant number, since it is smaller than the sum of its proper divisors (177561184320).

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

56093618880 is a wasteful number, since it uses less digits than its factorization.

56093618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 56093618880 in words is "fifty-six billion, ninety-three million, six hundred eighteen thousand, eight hundred eighty".