516113458560 has 512 divisors, whose sum is σ = 2198989440000. Its totient is φ = 111759409152.

The previous prime is 516113458537. The next prime is 516113458613. The reversal of 516113458560 is 65854311615.

It is a happy number.

516113458560 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 1 + 3 + 4 + 585 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2185956 + ... + 2410524.

It is an arithmetic number, because the mean of its divisors is an integer number (4294901250).

Almost surely, 2^516113458560 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 516113458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099494720000).

516113458560 is an abundant number, since it is smaller than the sum of its proper divisors (1682875981440).

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

516113458560 is a wasteful number, since it uses less digits than its factorization.

516113458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224623 (or 224605 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 516113458560 in words is "five hundred sixteen billion, one hundred thirteen million, four hundred fifty-eight thousand, five hundred sixty".