56645747644160 has 288 divisors, whose sum is σ = 139821688968192. Its totient is φ = 21976553963520.

The previous prime is 56645747644159. The next prime is 56645747644177. The reversal of 56645747644160 is 6144674754665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6202310954 + ... + 6202320086.

It is an arithmetic number, because the mean of its divisors is an integer number (485491975584).

Almost surely, 2^{56645747644160} 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 56645747644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69910844484096).

56645747644160 is an abundant number, since it is smaller than the sum of its proper divisors (83175941324032).

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

56645747644160 is a wasteful number, since it uses less digits than its factorization.

56645747644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 65.

The spelling of 56645747644160 in words is "fifty-six trillion, six hundred forty-five billion, seven hundred forty-seven million, six hundred forty-four thousand, one hundred sixty".