52390066176 has 864 divisors, whose sum is σ = 192259267200. Its totient is φ = 13655900160.

The previous prime is 52390066163. The next prime is 52390066193. The reversal of 52390066176 is 67166009325.

52390066176 is a `hidden beast` number, since 5 + 23 + 9 + 0 + 0 + 6 + 617 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 737888221 + ... + 737888291.

It is an arithmetic number, because the mean of its divisors is an integer number (222522300).

Almost surely, 2^52390066176 is an apocalyptic number.

52390066176 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 52390066176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96129633600).

52390066176 is an abundant number, since it is smaller than the sum of its proper divisors (139869201024).

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

52390066176 is a wasteful number, since it uses less digits than its factorization.

52390066176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 52390066176 in words is "fifty-two billion, three hundred ninety million, sixty-six thousand, one hundred seventy-six".