52164016632 has 384 divisors, whose sum is σ = 183859200000. Its totient is φ = 13580566272.

The previous prime is 52164016613. The next prime is 52164016657. The reversal of 52164016632 is 23661046125.

52164016632 is a `hidden beast` number, since 5 + 2 + 1 + 6 + 4 + 0 + 16 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10867369 + ... + 10872167.

It is an arithmetic number, because the mean of its divisors is an integer number (478800000).

Almost surely, 2^52164016632 is an apocalyptic number.

52164016632 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 52164016632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600000).

52164016632 is an abundant number, since it is smaller than the sum of its proper divisors (131695183368).

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

52164016632 is a wasteful number, since it uses less digits than its factorization.

52164016632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4920 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 52164016632 in words is "fifty-two billion, one hundred sixty-four million, sixteen thousand, six hundred thirty-two".