516005880 has 192 divisors, whose sum is σ = 1720323360. Its totient is φ = 123042816.

The previous prime is 516005873. The next prime is 516005899. The reversal of 516005880 is 88500615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6531681 + ... + 6531759.

Almost surely, 2^516005880 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 516005880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860161680).

516005880 is an abundant number, since it is smaller than the sum of its proper divisors (1204317480).

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

516005880 is a wasteful number, since it uses less digits than its factorization.

516005880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 516005880 is about 22715.7628091156. The cubic root of 516005880 is about 802.0809780527.

The spelling of 516005880 in words is "five hundred sixteen million, five thousand, eight hundred eighty".