52522138368 has 864 divisors, whose sum is σ = 195376312320. Its totient is φ = 13616087040.

The previous prime is 52522138363. The next prime is 52522138373. The reversal of 52522138368 is 86383122525.

52522138368 is a `hidden beast` number, since 5 + 252 + 2 + 1 + 38 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (52522138363) and next prime (52522138373).

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (52522138363) 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 95 ways as a sum of consecutive naturals, for example, 541465296 + ... + 541465392.

Almost surely, 2^52522138368 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 52522138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97688156160).

52522138368 is an abundant number, since it is smaller than the sum of its proper divisors (142854173952).

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

52522138368 is a wasteful number, since it uses less digits than its factorization.

52522138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 52522138368 in words is "fifty-two billion, five hundred twenty-two million, one hundred thirty-eight thousand, three hundred sixty-eight".