52534107601920 has 2816 divisors, whose sum is σ = 235799307878400. Its totient is φ = 10821206016000.

The previous prime is 52534107601919. The next prime is 52534107601973. The reversal of 52534107601920 is 2910670143525.

52534107601920 is a `hidden beast` number, since 5 + 2 + 5 + 3 + 4 + 10 + 7 + 601 + 9 + 20 = 666.

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 255 ways as a sum of consecutive naturals, for example, 34767773965 + ... + 34767775475.

Almost surely, 2^{52534107601920} 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 52534107601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117899653939200).

52534107601920 is an abundant number, since it is smaller than the sum of its proper divisors (183265200276480).

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

52534107601920 is a wasteful number, since it uses less digits than its factorization.

52534107601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 52534107601920 in words is "fifty-two trillion, five hundred thirty-four billion, one hundred seven million, six hundred one thousand, nine hundred twenty".