516961605888 has 1728 divisors, whose sum is σ = 2039913308160. Its totient is φ = 126916263936.

The previous prime is 516961605793. The next prime is 516961605899. The reversal of 516961605888 is 888506169615.

516961605888 is a `hidden beast` number, since 5 + 1 + 6 + 9 + 616 + 0 + 5 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 7715844831 + ... + 7715844897.

Almost surely, 2^516961605888 is an apocalyptic number.

516961605888 is a gapful number since it is divisible by the number (58) 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 516961605888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019956654080).

516961605888 is an abundant number, since it is smaller than the sum of its proper divisors (1522951702272).

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

516961605888 is a wasteful number, since it uses less digits than its factorization.

516961605888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 516961605888 in words is "five hundred sixteen billion, nine hundred sixty-one million, six hundred five thousand, eight hundred eighty-eight".