189456893125920 has 288 divisors, whose sum is σ = 777770404145280. Its totient is φ = 41025252003840.

The previous prime is 189456893125919. The next prime is 189456893125991. The reversal of 189456893125920 is 29521398654981.

189456893125920 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 568 + 9 + 3 + 1 + 2 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494422341 + ... + 494805380.

It is an arithmetic number, because the mean of its divisors is an integer number (2700591681060).

Almost surely, 2^{189456893125920} is an apocalyptic number.

189456893125920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189456893125920 is an abundant number, since it is smaller than the sum of its proper divisors (588313511019360).

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

189456893125920 is a wasteful number, since it uses less digits than its factorization.

189456893125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989227768 (or 989227757 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 189456893125920 in words is "one hundred eighty-nine trillion, four hundred fifty-six billion, eight hundred ninety-three million, one hundred twenty-five thousand, nine hundred twenty".