516265697664 has 192 divisors, whose sum is σ = 1508818006800. Its totient is φ = 169416867840.

The previous prime is 516265697657. The next prime is 516265697683. The reversal of 516265697664 is 466796562615.

516265697664 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 6 + 569 + 7 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23878219 + ... + 23899829.

Almost surely, 2^516265697664 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 516265697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754409003400).

516265697664 is an abundant number, since it is smaller than the sum of its proper divisors (992552309136).

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

516265697664 is a wasteful number, since it uses less digits than its factorization.

516265697664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21953 (or 21938 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 516265697664 in words is "five hundred sixteen billion, two hundred sixty-five million, six hundred ninety-seven thousand, six hundred sixty-four".