516664811520 has 1568 divisors, whose sum is σ = 2202084378144. Its totient is φ = 115617300480.

The previous prime is 516664811423. The next prime is 516664811521. The reversal of 516664811520 is 25118466615.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516664811521) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39743447034 + ... + 39743447046.

Almost surely, 2^516664811520 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 516664811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101042189072).

516664811520 is an abundant number, since it is smaller than the sum of its proper divisors (1685419566624).

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

516664811520 is an frugal number, since it uses more digits than its factorization.

516664811520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 516664811520 in words is "five hundred sixteen billion, six hundred sixty-four million, eight hundred eleven thousand, five hundred twenty".