516255013572480 has 2880 divisors, whose sum is σ = 2350446758074800. Its totient is φ = 107604368621568.

The previous prime is 516255013572461. The next prime is 516255013572499. The reversal of 516255013572480 is 84275310552615.

516255013572480 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 5 + 50 + 13 + 572 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (516255013572461) and next prime (516255013572499).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 35630817076 + ... + 35630831564.

Almost surely, 2^{516255013572480} 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 516255013572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175223379037400).

516255013572480 is an abundant number, since it is smaller than the sum of its proper divisors (1834191744502320).

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

516255013572480 is a wasteful number, since it uses less digits than its factorization.

516255013572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14643 (or 14602 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 516255013572480 in words is "five hundred sixteen trillion, two hundred fifty-five billion, thirteen million, five hundred seventy-two thousand, four hundred eighty".