52079118336 has 288 divisors, whose sum is σ = 173002677120. Its totient is φ = 14784528384.

The previous prime is 52079118323. The next prime is 52079118397. The reversal of 52079118336 is 63381197025.

52079118336 is a `hidden beast` number, since 520 + 7 + 9 + 11 + 83 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 52079118291 and 52079118300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21545800 + ... + 21548216.

It is an arithmetic number, because the mean of its divisors is an integer number (600703740).

Almost surely, 2^52079118336 is an apocalyptic number.

52079118336 is a gapful number since it is divisible by the number (56) 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 52079118336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86501338560).

52079118336 is an abundant number, since it is smaller than the sum of its proper divisors (120923558784).

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

52079118336 is a wasteful number, since it uses less digits than its factorization.

52079118336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 52079118336 in words is "fifty-two billion, seventy-nine million, one hundred eighteen thousand, three hundred thirty-six".