516601430432 has 96 divisors (see below), whose sum is σ = 1069821043200. Its totient is φ = 245234764800.

The previous prime is 516601430333. The next prime is 516601430467. The reversal of 516601430432 is 234034106615.

It is a junction number, because it is equal to n+sod(n) for n = 516601430392 and 516601430401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29782082 + ... + 29799422.

It is an arithmetic number, because the mean of its divisors is an integer number (11143969200).

Almost surely, 2^516601430432 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 516601430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534910521600).

516601430432 is an abundant number, since it is smaller than the sum of its proper divisors (553219612768).

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

516601430432 is a wasteful number, since it uses less digits than its factorization.

516601430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17950 (or 17942 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 516601430432 in words is "five hundred sixteen billion, six hundred one million, four hundred thirty thousand, four hundred thirty-two".