189205044792960 has 128 divisors (see below), whose sum is σ = 689246948937600. Its totient is φ = 43246867378176.

The previous prime is 189205044792949. The next prime is 189205044793001. The reversal of 189205044792960 is 69297440502981.

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

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 189205044792891 and 189205044792900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7038864715 + ... + 7038891594.

It is an arithmetic number, because the mean of its divisors is an integer number (5384741788575).

Almost surely, 2^{189205044792960} is an apocalyptic number.

189205044792960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189205044792960 is an abundant number, since it is smaller than the sum of its proper divisors (500041904144640).

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

189205044792960 is a wasteful number, since it uses less digits than its factorization.

189205044792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14077756338 (or 14077756326 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 189205044792960 in words is "one hundred eighty-nine trillion, two hundred five billion, forty-four million, seven hundred ninety-two thousand, nine hundred sixty".