516165073632 has 72 divisors (see below), whose sum is σ = 1580755549464. Its totient is φ = 158820021504.

The previous prime is 516165073621. The next prime is 516165073639. The reversal of 516165073632 is 236370561615.

516165073632 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 6 + 5 + 0 + 7 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516165073639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68928558 + ... + 68936045.

It is an arithmetic number, because the mean of its divisors is an integer number (21954938187).

Almost surely, 2^516165073632 is an apocalyptic number.

516165073632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

516165073632 is an abundant number, since it is smaller than the sum of its proper divisors (1064590475832).

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

516165073632 is a wasteful number, since it uses less digits than its factorization.

516165073632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137864632 (or 137864621 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 516165073632 in words is "five hundred sixteen billion, one hundred sixty-five million, seventy-three thousand, six hundred thirty-two".