507886053120 has 288 divisors, whose sum is σ = 1805800416000. Its totient is φ = 135172509696.

The previous prime is 507886053109. The next prime is 507886053167. The reversal of 507886053120 is 21350688705.

507886053120 is a `hidden beast` number, since 5 + 0 + 7 + 8 + 8 + 605 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×507886053120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 18060831 + ... + 18088929.

Almost surely, 2^507886053120 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 507886053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902900208000).

507886053120 is an abundant number, since it is smaller than the sum of its proper divisors (1297914362880).

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

507886053120 is a wasteful number, since it uses less digits than its factorization.

507886053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28652 (or 28632 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 507886053120 in words is "five hundred seven billion, eight hundred eighty-six million, fifty-three thousand, one hundred twenty".