56745607121280 has 6912 divisors, whose sum is σ = 283719106944000. Its totient is φ = 10760291942400.

The previous prime is 56745607121233. The next prime is 56745607121297. The reversal of 56745607121280 is 8212170654765.

It is a happy number.

56745607121280 is a `hidden beast` number, since 5 + 6 + 7 + 4 + 5 + 607 + 1 + 2 + 1 + 28 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 863 ways as a sum of consecutive naturals, for example, 718298824281 + ... + 718298824359.

It is an arithmetic number, because the mean of its divisors is an integer number (41047324500).

Almost surely, 2^{56745607121280} 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 56745607121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141859553472000).

56745607121280 is an abundant number, since it is smaller than the sum of its proper divisors (226973499822720).

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

56745607121280 is a wasteful number, since it uses less digits than its factorization.

56745607121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 56745607121280 in words is "fifty-six trillion, seven hundred forty-five billion, six hundred seven million, one hundred twenty-one thousand, two hundred eighty".