53705214262320 has 320 divisors, whose sum is σ = 176907770928000. Its totient is φ = 13451860574208.

The previous prime is 53705214262313. The next prime is 53705214262333. The reversal of 53705214262320 is 2326241250735.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2649613146 + ... + 2649633414.

It is an arithmetic number, because the mean of its divisors is an integer number (552836784150).

Almost surely, 2^{53705214262320} 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 53705214262320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88453885464000).

53705214262320 is an abundant number, since it is smaller than the sum of its proper divisors (123202556665680).

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

53705214262320 is a wasteful number, since it uses less digits than its factorization.

53705214262320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30640 (or 30634 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 53705214262320 in words is "fifty-three trillion, seven hundred five billion, two hundred fourteen million, two hundred sixty-two thousand, three hundred twenty".