56180024858880 has 2304 divisors, whose sum is σ = 237369857356800. Its totient is φ = 12452269916160.

The previous prime is 56180024858851. The next prime is 56180024858887. The reversal of 56180024858880 is 8885842008165.

56180024858880 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 0 + 0 + 2 + 48 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (56180024858887) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17238422691 + ... + 17238425949.

It is an arithmetic number, because the mean of its divisors is an integer number (103025111700).

Almost surely, 2^{56180024858880} 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 56180024858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118684928678400).

56180024858880 is an abundant number, since it is smaller than the sum of its proper divisors (181189832497920).

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

56180024858880 is a wasteful number, since it uses less digits than its factorization.

56180024858880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 63.

The spelling of 56180024858880 in words is "fifty-six trillion, one hundred eighty billion, twenty-four million, eight hundred fifty-eight thousand, eight hundred eighty".