52058972160 has 1120 divisors, whose sum is σ = 215805788352. Its totient is φ = 11890851840.

The previous prime is 52058972117. The next prime is 52058972167. The reversal of 52058972160 is 6127985025.

52058972160 is a `hidden beast` number, since 5 + 2 + 0 + 589 + 7 + 2 + 1 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52058972167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 733224925 + ... + 733224995.

Almost surely, 2^52058972160 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 52058972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107902894176).

52058972160 is an abundant number, since it is smaller than the sum of its proper divisors (163746816192).

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

52058972160 is a wasteful number, since it uses less digits than its factorization.

52058972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 52058972160 in words is "fifty-two billion, fifty-eight million, nine hundred seventy-two thousand, one hundred sixty".