56924417088 has 1344 divisors, whose sum is σ = 233501184000. Its totient is φ = 13247815680.

The previous prime is 56924417071. The next prime is 56924417093. The reversal of 56924417088 is 88071442965.

It is a happy number.

56924417088 is a `hidden beast` number, since 56 + 9 + 2 + 441 + 70 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 639600148 + ... + 639600236.

It is an arithmetic number, because the mean of its divisors is an integer number (173736000).

Almost surely, 2^56924417088 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 56924417088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592000).

56924417088 is an abundant number, since it is smaller than the sum of its proper divisors (176576766912).

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

56924417088 is a wasteful number, since it uses less digits than its factorization.

56924417088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 56924417088 in words is "fifty-six billion, nine hundred twenty-four million, four hundred seventeen thousand, eighty-eight".