56148700173720 has 1536 divisors, whose sum is σ = 227984357376000. Its totient is φ = 10914722058240.

The previous prime is 56148700173707. The next prime is 56148700173739. The reversal of 56148700173720 is 2737100784165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29882223741 + ... + 29882225619.

It is an arithmetic number, because the mean of its divisors is an integer number (148427316000).

Almost surely, 2^{56148700173720} 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 56148700173720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992178688000).

56148700173720 is an abundant number, since it is smaller than the sum of its proper divisors (171835657202280).

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

56148700173720 is a wasteful number, since it uses less digits than its factorization.

56148700173720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 56148700173720 in words is "fifty-six trillion, one hundred forty-eight billion, seven hundred million, one hundred seventy-three thousand, seven hundred twenty".