189909667920 has 960 divisors, whose sum is σ = 754631700480. Its totient is φ = 38568960000.

The previous prime is 189909667897. The next prime is 189909667921. The reversal of 189909667920 is 29766909981.

189909667920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189909667921) 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 191 ways as a sum of consecutive naturals, for example, 1257679845 + ... + 1257679995.

It is an arithmetic number, because the mean of its divisors is an integer number (786074688).

Almost surely, 2^189909667920 is an apocalyptic number.

189909667920 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 189909667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377315850240).

189909667920 is an abundant number, since it is smaller than the sum of its proper divisors (564722032560).

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

189909667920 is a wasteful number, since it uses less digits than its factorization.

189909667920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 66.

The spelling of 189909667920 in words is "one hundred eighty-nine billion, nine hundred nine million, six hundred sixty-seven thousand, nine hundred twenty".