187975890784900 has 81 divisors (see below), whose sum is σ = 408609538983919. Its totient is φ = 75061204063360.

The previous prime is 187975890784823. The next prime is 187975890784921. The reversal of 187975890784900 is 9487098579781.

The square root of 187975890784900 is 13710430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20144280344644 + 167831610440256 = 4488238^2 + 12954984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143822410047 + ... + 143822411353.

Almost surely, 2^{187975890784900} is an apocalyptic number.

187975890784900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

187975890784900 is the 13710430-th square number.

It is an amenable number.

187975890784900 is an abundant number, since it is smaller than the sum of its proper divisors (220633648199019).

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

187975890784900 is an frugal number, since it uses more digits than its factorization.

187975890784900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 2560481280, while the sum is 82.

The spelling of 187975890784900 in words is "one hundred eighty-seven trillion, nine hundred seventy-five billion, eight hundred ninety million, seven hundred eighty-four thousand, nine hundred".