516093975684 has 720 divisors, whose sum is σ = 1708566773760. Its totient is φ = 135042526080.

The previous prime is 516093975679. The next prime is 516093975721. The reversal of 516093975684 is 486579390615.

516093975684 is a `hidden beast` number, since 5 + 1 + 60 + 9 + 3 + 9 + 7 + 568 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1437587497 + ... + 1437587855.

It is an arithmetic number, because the mean of its divisors is an integer number (2373009408).

Almost surely, 2^516093975684 is an apocalyptic number.

516093975684 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516093975684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854283386880).

516093975684 is an abundant number, since it is smaller than the sum of its proper divisors (1192472798076).

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

516093975684 is a wasteful number, since it uses less digits than its factorization.

516093975684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 516093975684 in words is "five hundred sixteen billion, ninety-three million, nine hundred seventy-five thousand, six hundred eighty-four".