516972011520 has 448 divisors, whose sum is σ = 1685805981696. Its totient is φ = 135258439680.

The previous prime is 516972011509. The next prime is 516972011533. The reversal of 516972011520 is 25110279615.

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, 2450104215 + ... + 2450104425.

Almost surely, 2^516972011520 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 516972011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842902990848).

516972011520 is an abundant number, since it is smaller than the sum of its proper divisors (1168833970176).

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

516972011520 is a wasteful number, since it uses less digits than its factorization.

516972011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The spelling of 516972011520 in words is "five hundred sixteen billion, nine hundred seventy-two million, eleven thousand, five hundred twenty".