516410446738080 has 384 divisors, whose sum is σ = 1778143939246080. Its totient is φ = 125413675499520.

The previous prime is 516410446738033. The next prime is 516410446738103. The reversal of 516410446738080 is 80837644014615.

It is a self number, because there is not a number n which added to its sum of digits gives 516410446738080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2311183806 + ... + 2311407234.

It is an arithmetic number, because the mean of its divisors is an integer number (4630583175120).

Almost surely, 2^{516410446738080} 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 516410446738080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889071969623040).

516410446738080 is an abundant number, since it is smaller than the sum of its proper divisors (1261733492508000).

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

516410446738080 is a wasteful number, since it uses less digits than its factorization.

516410446738080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232632 (or 232624 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 516410446738080 in words is "five hundred sixteen trillion, four hundred ten billion, four hundred forty-six million, seven hundred thirty-eight thousand, eighty".