507252109968 has 100 divisors (see below), whose sum is σ = 1545405098160. Its totient is φ = 160184869056.

The previous prime is 507252109939. The next prime is 507252109999. The reversal of 507252109968 is 869901252705.

507252109968 is a `hidden beast` number, since 50 + 7 + 2 + 521 + 0 + 9 + 9 + 68 = 666.

It is a super-2 number, since 2×507252109968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10275330 + ... + 10324577.

Almost surely, 2^507252109968 is an apocalyptic number.

It is an amenable number.

507252109968 is an abundant number, since it is smaller than the sum of its proper divisors (1038152988192).

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

507252109968 is a wasteful number, since it uses less digits than its factorization.

507252109968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20599946 (or 20599931 counting only the distinct ones).

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

The spelling of 507252109968 in words is "five hundred seven billion, two hundred fifty-two million, one hundred nine thousand, nine hundred sixty-eight".