53716561920 has 1248 divisors, whose sum is σ = 235523358720. Its totient is φ = 11041505280.

The previous prime is 53716561883. The next prime is 53716561973. The reversal of 53716561920 is 2916561735.

53716561920 is a `hidden beast` number, since 5 + 3 + 7 + 1 + 6 + 5 + 619 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679956441 + ... + 679956519.

It is an arithmetic number, because the mean of its divisors is an integer number (188720640).

Almost surely, 2^53716561920 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 53716561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117761679360).

53716561920 is an abundant number, since it is smaller than the sum of its proper divisors (181806796800).

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

53716561920 is a wasteful number, since it uses less digits than its factorization.

53716561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 53716561920 in words is "fifty-three billion, seven hundred sixteen million, five hundred sixty-one thousand, nine hundred twenty".