516156160 has 72 divisors (see below), whose sum is σ = 1331502480. Its totient is φ = 190574592.

The previous prime is 516156139. The next prime is 516156191. The reversal of 516156160 is 61651615.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1131 + ... + 32149.

It is an arithmetic number, because the mean of its divisors is an integer number (18493090).

Almost surely, 2^516156160 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 516156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665751240).

516156160 is an abundant number, since it is smaller than the sum of its proper divisors (815346320).

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

516156160 is a wasteful number, since it uses less digits than its factorization.

516156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31053 (or 31039 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 516156160 is about 22719.0704035178. The cubic root of 516156160 is about 802.1588357118.

It can be divided in two parts, 51615 and 6160, that added together give a palindrome (57775).

The spelling of 516156160 in words is "five hundred sixteen million, one hundred fifty-six thousand, one hundred sixty".