189097332830400 has 504 divisors, whose sum is σ = 664540910915520. Its totient is φ = 47058914580480.

The previous prime is 189097332830383. The next prime is 189097332830407. The reversal of 189097332830400 is 4038233790981.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (189097332830407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115283211 + ... + 116911989.

Almost surely, 2^{189097332830400} is an apocalyptic number.

189097332830400 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 189097332830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332270455457760).

189097332830400 is an abundant number, since it is smaller than the sum of its proper divisors (475443578085120).

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

189097332830400 is a wasteful number, since it uses less digits than its factorization.

189097332830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628909 (or 1628875 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 189097332830400 in words is "one hundred eighty-nine trillion, ninety-seven billion, three hundred thirty-two million, eight hundred thirty thousand, four hundred".