52892614656 has 960 divisors, whose sum is σ = 201320448000. Its totient is φ = 13377208320.

The previous prime is 52892614609. The next prime is 52892614657. The reversal of 52892614656 is 65641629825.

52892614656 is a `hidden beast` number, since 528 + 9 + 2 + 61 + 4 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52892614657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1706213361 + ... + 1706213391.

It is an arithmetic number, because the mean of its divisors is an integer number (209708800).

Almost surely, 2^52892614656 is an apocalyptic number.

52892614656 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 52892614656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100660224000).

52892614656 is an abundant number, since it is smaller than the sum of its proper divisors (148427833344).

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

52892614656 is a wasteful number, since it uses less digits than its factorization.

52892614656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 52892614656 in words is "fifty-two billion, eight hundred ninety-two million, six hundred fourteen thousand, six hundred fifty-six".