52905172320 has 1728 divisors, whose sum is σ = 259527131136. Its totient is φ = 9475522560.

The previous prime is 52905172283. The next prime is 52905172343. The reversal of 52905172320 is 2327150925.

52905172320 is a `hidden beast` number, since 52 + 90 + 517 + 2 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 416576097 + ... + 416576223.

It is an arithmetic number, because the mean of its divisors is an integer number (150189312).

Almost surely, 2^52905172320 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 52905172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129763565568).

52905172320 is an abundant number, since it is smaller than the sum of its proper divisors (206621958816).

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

52905172320 is a wasteful number, since it uses less digits than its factorization.

52905172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 52905172320 in words is "fifty-two billion, nine hundred five million, one hundred seventy-two thousand, three hundred twenty".