516552643644720 has 160 divisors (see below), whose sum is σ = 1753973885718720. Its totient is φ = 125174082109440.

The previous prime is 516552643644701. The next prime is 516552643644733. The reversal of 516552643644720 is 27446346255615.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2182744441 + ... + 2182981080.

It is an arithmetic number, because the mean of its divisors is an integer number (10962336785742).

Almost surely, 2^{516552643644720} is an apocalyptic number.

It is an amenable number.

516552643644720 is an abundant number, since it is smaller than the sum of its proper divisors (1237421242074000).

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

516552643644720 is a wasteful number, since it uses less digits than its factorization.

516552643644720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365725583 (or 4365725577 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 60.

The spelling of 516552643644720 in words is "five hundred sixteen trillion, five hundred fifty-two billion, six hundred forty-three million, six hundred forty-four thousand, seven hundred twenty".