48560757724160 has 528 divisors, whose sum is σ = 133850358083520. Its totient is φ = 16759605166080.

The previous prime is 48560757724147. The next prime is 48560757724201. The reversal of 48560757724160 is 6142775706584.

It is a junction number, because it is equal to n+sod(n) for n = 48560757724093 and 48560757724102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2794533392 + ... + 2794550768.

Almost surely, 2^{48560757724160} is an apocalyptic number.

48560757724160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48560757724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66925179041760).

48560757724160 is an abundant number, since it is smaller than the sum of its proper divisors (85289600359360).

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

48560757724160 is a wasteful number, since it uses less digits than its factorization.

48560757724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17530 (or 17483 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 62.

The spelling of 48560757724160 in words is "forty-eight trillion, five hundred sixty billion, seven hundred fifty-seven million, seven hundred twenty-four thousand, one hundred sixty".