189093532320 has 1728 divisors, whose sum is σ = 895355233920. Its totient is φ = 36849254400.

The previous prime is 189093532319. The next prime is 189093532391. The reversal of 189093532320 is 23235390981.

189093532320 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 93 + 532 + 3 + 20 = 666.

189093532320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 672930580 + ... + 672930860.

It is an arithmetic number, because the mean of its divisors is an integer number (518145390).

Almost surely, 2^189093532320 is an apocalyptic number.

189093532320 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 189093532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447677616960).

189093532320 is an abundant number, since it is smaller than the sum of its proper divisors (706261701600).

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

189093532320 is a wasteful number, since it uses less digits than its factorization.

189093532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 189093532320 in words is "one hundred eighty-nine billion, ninety-three million, five hundred thirty-two thousand, three hundred twenty".