516624117120 has 160 divisors (see below), whose sum is σ = 1844958186720. Its totient is φ = 137766417408.

The previous prime is 516624117089. The next prime is 516624117127. The reversal of 516624117120 is 21711426615.

516624117120 is a `hidden beast` number, since 5 + 1 + 6 + 624 + 1 + 1 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516624117127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4931032 + ... + 5034711.

It is an arithmetic number, because the mean of its divisors is an integer number (11530988667).

Almost surely, 2^516624117120 is an apocalyptic number.

It is an amenable number.

516624117120 is an abundant number, since it is smaller than the sum of its proper divisors (1328334069600).

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

516624117120 is an equidigital number, since it uses as much as digits as its factorization.

516624117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965774 (or 9965753 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 516624117120 in words is "five hundred sixteen billion, six hundred twenty-four million, one hundred seventeen thousand, one hundred twenty".