189989335166400 has 4032 divisors, whose sum is σ = 912442949913600. Its totient is φ = 37353000960000.

The previous prime is 189989335166399. The next prime is 189989335166417. The reversal of 189989335166400 is 4661533989981.

189989335166400 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 89 + 33 + 51 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 177726225066 + ... + 177726226134.

It is an arithmetic number, because the mean of its divisors is an integer number (226300334800).

Almost surely, 2^{189989335166400} is an apocalyptic number.

189989335166400 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 189989335166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456221474956800).

189989335166400 is an abundant number, since it is smaller than the sum of its proper divisors (722453614747200).

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

189989335166400 is a wasteful number, since it uses less digits than its factorization.

189989335166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 189989335166400 in words is "one hundred eighty-nine trillion, nine hundred eighty-nine billion, three hundred thirty-five million, one hundred sixty-six thousand, four hundred".