189187315200 has 960 divisors, whose sum is σ = 792134925120. Its totient is φ = 43812126720.

The previous prime is 189187315193. The next prime is 189187315231. The reversal of 189187315200 is 2513781981.

189187315200 is a `hidden beast` number, since 1 + 8 + 91 + 8 + 7 + 31 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76376362 + ... + 76378838.

It is an arithmetic number, because the mean of its divisors is an integer number (825140547).

Almost surely, 2^189187315200 is an apocalyptic number.

189187315200 is a gapful number since it is divisible by the number (10) 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 189187315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396067462560).

189187315200 is an abundant number, since it is smaller than the sum of its proper divisors (602947609920).

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

189187315200 is a wasteful number, since it uses less digits than its factorization.

189187315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 189187315200 in words is "one hundred eighty-nine billion, one hundred eighty-seven million, three hundred fifteen thousand, two hundred".