52166434320 has 1280 divisors, whose sum is σ = 251983872000. Its totient is φ = 9561784320.

The previous prime is 52166434303. The next prime is 52166434321. The reversal of 52166434320 is 2343466125.

52166434320 is a `hidden beast` number, since 5 + 2 + 1 + 6 + 643 + 4 + 3 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52166434321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49729156 + ... + 49730204.

It is an arithmetic number, because the mean of its divisors is an integer number (196862400).

Almost surely, 2^52166434320 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 52166434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936000).

52166434320 is an abundant number, since it is smaller than the sum of its proper divisors (199817437680).

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

52166434320 is a wasteful number, since it uses less digits than its factorization.

52166434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 52166434320 in words is "fifty-two billion, one hundred sixty-six million, four hundred thirty-four thousand, three hundred twenty".