56180464704 has 1008 divisors, whose sum is σ = 215142153408. Its totient is φ = 14401400832.

The previous prime is 56180464699. The next prime is 56180464729. The reversal of 56180464704 is 40746408165.

56180464704 is a `hidden beast` number, since 5 + 6 + 180 + 464 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×56180464704² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56180464704.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 525051019 + ... + 525051125.

It is an arithmetic number, because the mean of its divisors is an integer number (213434676).

Almost surely, 2^56180464704 is an apocalyptic number.

56180464704 is a gapful number since it is divisible by the number (54) 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 56180464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107571076704).

56180464704 is an abundant number, since it is smaller than the sum of its proper divisors (158961688704).

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

56180464704 is a wasteful number, since it uses less digits than its factorization.

56180464704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 56180464704 in words is "fifty-six billion, one hundred eighty million, four hundred sixty-four thousand, seven hundred four".