189399729768320 has 128 divisors (see below), whose sum is σ = 470623796123040. Its totient is φ = 72824226177024.

The previous prime is 189399729768317. The next prime is 189399729768329. The reversal of 189399729768320 is 23867927993981.

189399729768320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (83).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189399729768329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46217087 + ... + 50147966.

Almost surely, 2^{189399729768320} is an apocalyptic number.

189399729768320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189399729768320 is an abundant number, since it is smaller than the sum of its proper divisors (281224066354720).

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

189399729768320 is an equidigital number, since it uses as much as digits as its factorization.

189399729768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96365192 (or 96365180 counting only the distinct ones).

The product of its (nonzero) digits is 4444263936, while the sum is 83.

The spelling of 189399729768320 in words is "one hundred eighty-nine trillion, three hundred ninety-nine billion, seven hundred twenty-nine million, seven hundred sixty-eight thousand, three hundred twenty".