187725972864 has 256 divisors, whose sum is σ = 532391823360. Its totient is φ = 58514227200.

The previous prime is 187725972839. The next prime is 187725972893. The reversal of 187725972864 is 468279527781.

It is a junction number, because it is equal to n+sod(n) for n = 187725972795 and 187725972804.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 42268884 + ... + 42273324.

It is an arithmetic number, because the mean of its divisors is an integer number (2079655560).

Almost surely, 2^187725972864 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 187725972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266195911680).

187725972864 is an abundant number, since it is smaller than the sum of its proper divisors (344665850496).

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

187725972864 is a wasteful number, since it uses less digits than its factorization.

187725972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4597 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 66.

The spelling of 187725972864 in words is "one hundred eighty-seven billion, seven hundred twenty-five million, nine hundred seventy-two thousand, eight hundred sixty-four".