516542764900 has 72 divisors (see below), whose sum is σ = 1132518389184. Its totient is φ = 204477686400.

The previous prime is 516542764889. The next prime is 516542764967. The reversal of 516542764900 is 9467245615.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16598355 + ... + 16629445.

It is an arithmetic number, because the mean of its divisors is an integer number (15729422072).

Almost surely, 2^516542764900 is an apocalyptic number.

516542764900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516542764900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566259194592).

516542764900 is an abundant number, since it is smaller than the sum of its proper divisors (615975624284).

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

516542764900 is a wasteful number, since it uses less digits than its factorization.

516542764900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32821 (or 32814 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 516542764900 in words is "five hundred sixteen billion, five hundred forty-two million, seven hundred sixty-four thousand, nine hundred".