52857192960 has 960 divisors, whose sum is σ = 219419456256. Its totient is φ = 11590041600.

The previous prime is 52857192959. The next prime is 52857193009. The reversal of 52857192960 is 6929175825.

52857192960 is a `hidden beast` number, since 5 + 2 + 8 + 571 + 9 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×52857192960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52857192897 and 52857192906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200977789 + ... + 200978051.

Almost surely, 2^52857192960 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 52857192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109709728128).

52857192960 is an abundant number, since it is smaller than the sum of its proper divisors (166562263296).

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

52857192960 is a wasteful number, since it uses less digits than its factorization.

52857192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 52857192960 in words is "fifty-two billion, eight hundred fifty-seven million, one hundred ninety-two thousand, nine hundred sixty".