516616925460480 has 5760 divisors, whose sum is σ = 2299511049675840. Its totient is φ = 109800125890560.

The previous prime is 516616925460473. The next prime is 516616925460481. The reversal of 516616925460480 is 84064529616615.

516616925460480 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 1 + 6 + 9 + 2 + 546 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516616925460481) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2448421447575 + ... + 2448421447785.

Almost surely, 2^{516616925460480} 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 516616925460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149755524837920).

516616925460480 is an abundant number, since it is smaller than the sum of its proper divisors (1782894124215360).

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

516616925460480 is a wasteful number, since it uses less digits than its factorization.

516616925460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 516616925460480 in words is "five hundred sixteen trillion, six hundred sixteen billion, nine hundred twenty-five million, four hundred sixty thousand, four hundred eighty".