52094085120 has 768 divisors, whose sum is σ = 230965862400. Its totient is φ = 10820321280.

The previous prime is 52094085119. The next prime is 52094085137. The reversal of 52094085120 is 2158049025.

52094085120 is a `hidden beast` number, since 52 + 0 + 94 + 0 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21287737 + ... + 21290183.

It is an arithmetic number, because the mean of its divisors is an integer number (300736800).

Almost surely, 2^52094085120 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 52094085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115482931200).

52094085120 is an abundant number, since it is smaller than the sum of its proper divisors (178871777280).

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

52094085120 is a wasteful number, since it uses less digits than its factorization.

52094085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 52094085120 in words is "fifty-two billion, ninety-four million, eighty-five thousand, one hundred twenty".