516027404160 has 512 divisors, whose sum is σ = 1846457856000. Its totient is φ = 136196259840.

The previous prime is 516027404147. The next prime is 516027404251. The reversal of 516027404160 is 61404720615.

516027404160 is a `hidden beast` number, since 5 + 1 + 602 + 7 + 4 + 0 + 41 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1197279145 + ... + 1197279575.

It is an arithmetic number, because the mean of its divisors is an integer number (3606363000).

Almost surely, 2^516027404160 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 516027404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923228928000).

516027404160 is an abundant number, since it is smaller than the sum of its proper divisors (1330430451840).

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

516027404160 is a wasteful number, since it uses less digits than its factorization.

516027404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 516027404160 in words is "five hundred sixteen billion, twenty-seven million, four hundred four thousand, one hundred sixty".