516199140900 has 243 divisors, whose sum is σ = 1682039160529. Its totient is φ = 137497914720.

The previous prime is 516199140893. The next prime is 516199140911. The reversal of 516199140900 is 9041991615.

The square root of 516199140900 is 718470.

It is a perfect power (a square), and thus also a powerful number.

516199140900 is a `hidden beast` number, since 51 + 6 + 199 + 1 + 409 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 185831690724 + 330367450176 = 431082^2 + 574776^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 581960257 + ... + 581961143.

Almost surely, 2^516199140900 is an apocalyptic number.

516199140900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

516199140900 is the 718470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516199140900

516199140900 is an abundant number, since it is smaller than the sum of its proper divisors (1165840019629).

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

516199140900 is an frugal number, since it uses more digits than its factorization.

516199140900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 516199140900 in words is "five hundred sixteen billion, one hundred ninety-nine million, one hundred forty thousand, nine hundred".