56874184614720 has 672 divisors, whose sum is σ = 214894319552640. Its totient is φ = 13691725332480.

The previous prime is 56874184614697. The next prime is 56874184614727. The reversal of 56874184614720 is 2741648147865.

56874184614720 is a `hidden beast` number, since 5 + 6 + 8 + 7 + 4 + 1 + 8 + 4 + 614 + 7 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56874184614727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15334100226 + ... + 15334103934.

It is an arithmetic number, because the mean of its divisors is an integer number (319783213620).

Almost surely, 2^{56874184614720} 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 56874184614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107447159776320).

56874184614720 is an abundant number, since it is smaller than the sum of its proper divisors (158020134937920).

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

56874184614720 is a wasteful number, since it uses less digits than its factorization.

56874184614720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 56874184614720 in words is "fifty-six trillion, eight hundred seventy-four billion, one hundred eighty-four million, six hundred fourteen thousand, seven hundred twenty".