52052108160 has 384 divisors, whose sum is σ = 189138844800. Its totient is φ = 12137029632.

The previous prime is 52052108123. The next prime is 52052108177. The reversal of 52052108160 is 6180125025.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 6160899 + ... + 6169341.

It is an arithmetic number, because the mean of its divisors is an integer number (492549075).

Almost surely, 2^52052108160 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 52052108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94569422400).

52052108160 is an abundant number, since it is smaller than the sum of its proper divisors (137086736640).

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

52052108160 is a wasteful number, since it uses less digits than its factorization.

52052108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 52052108160 in words is "fifty-two billion, fifty-two million, one hundred eight thousand, one hundred sixty".