52118097408 has 320 divisors, whose sum is σ = 168289228800. Its totient is φ = 15829032960.

The previous prime is 52118097407. The next prime is 52118097431. The reversal of 52118097408 is 80479081125.

52118097408 is a `hidden beast` number, since 521 + 1 + 80 + 9 + 7 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52118097401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14195413 + ... + 14199083.

It is an arithmetic number, because the mean of its divisors is an integer number (525903840).

Almost surely, 2^52118097408 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 52118097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84144614400).

52118097408 is an abundant number, since it is smaller than the sum of its proper divisors (116171131392).

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

52118097408 is a wasteful number, since it uses less digits than its factorization.

52118097408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 52118097408 in words is "fifty-two billion, one hundred eighteen million, ninety-seven thousand, four hundred eight".