52564292117128 has 128 divisors (see below), whose sum is σ = 108996014499840. Its totient is φ = 23566386816000.

The previous prime is 52564292117119. The next prime is 52564292117167. The reversal of 52564292117128 is 82171129246525.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3149251263 + ... + 3149267953.

It is an arithmetic number, because the mean of its divisors is an integer number (851531363280).

Almost surely, 2^{52564292117128} 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 52564292117128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54498007249920).

52564292117128 is an abundant number, since it is smaller than the sum of its proper divisors (56431722382712).

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

52564292117128 is a wasteful number, since it uses less digits than its factorization.

52564292117128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18179 (or 18175 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 55.

The spelling of 52564292117128 in words is "fifty-two trillion, five hundred sixty-four billion, two hundred ninety-two million, one hundred seventeen thousand, one hundred twenty-eight".