52579418112 has 480 divisors, whose sum is σ = 172632284160. Its totient is φ = 15712911360.

The previous prime is 52579418077. The next prime is 52579418113. The reversal of 52579418112 is 21181497525.

52579418112 is a `hidden beast` number, since 52 + 5 + 79 + 418 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52579418113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235782033 + ... + 235782255.

It is an arithmetic number, because the mean of its divisors is an integer number (359650592).

Almost surely, 2^52579418112 is an apocalyptic number.

52579418112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52579418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86316142080).

52579418112 is an abundant number, since it is smaller than the sum of its proper divisors (120052866048).

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

52579418112 is a wasteful number, since it uses less digits than its factorization.

52579418112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 282 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 52579418112 in words is "fifty-two billion, five hundred seventy-nine million, four hundred eighteen thousand, one hundred twelve".