516113387760 has 320 divisors, whose sum is σ = 1707719270400. Its totient is φ = 128710840320.

The previous prime is 516113387737. The next prime is 516113387767. The reversal of 516113387760 is 67783311615.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516113387767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41010429 + ... + 41023011.

It is an arithmetic number, because the mean of its divisors is an integer number (5336622720).

Almost surely, 2^516113387760 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 516113387760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853859635200).

516113387760 is an abundant number, since it is smaller than the sum of its proper divisors (1191605882640).

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

516113387760 is a wasteful number, since it uses less digits than its factorization.

516113387760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12816 (or 12810 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 516113387760 in words is "five hundred sixteen billion, one hundred thirteen million, three hundred eighty-seven thousand, seven hundred sixty".