516990537120 has 192 divisors, whose sum is σ = 1700117766144. Its totient is φ = 131808568320.

The previous prime is 516990537061. The next prime is 516990537157. The reversal of 516990537120 is 21735099615.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 516990537120.

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, 26607729 + ... + 26627151.

It is an arithmetic number, because the mean of its divisors is an integer number (8854780032).

Almost surely, 2^516990537120 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 516990537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850058883072).

516990537120 is an abundant number, since it is smaller than the sum of its proper divisors (1183127229024).

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

516990537120 is a wasteful number, since it uses less digits than its factorization.

516990537120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21875 (or 21867 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

It can be divided in two parts, 5169905 and 37120, that added together give a palindrome (5207025).

The spelling of 516990537120 in words is "five hundred sixteen billion, nine hundred ninety million, five hundred thirty-seven thousand, one hundred twenty".