516105605664 has 360 divisors, whose sum is σ = 1671748049664. Its totient is φ = 156080390400.

The previous prime is 516105605663. The next prime is 516105605669. The reversal of 516105605664 is 466506501615.

516105605664 is a `hidden beast` number, since 5 + 16 + 10 + 5 + 60 + 566 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (516105605663) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 190373269 + ... + 190375979.

Almost surely, 2^516105605664 is an apocalyptic number.

516105605664 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 516105605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835874024832).

516105605664 is an abundant number, since it is smaller than the sum of its proper divisors (1155642444000).

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

516105605664 is a wasteful number, since it uses less digits than its factorization.

516105605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 516105605664 in words is "five hundred sixteen billion, one hundred five million, six hundred five thousand, six hundred sixty-four".