189631258920 has 256 divisors, whose sum is σ = 650418336000. Its totient is φ = 49108405248.

The previous prime is 189631258909. The next prime is 189631258961. The reversal of 189631258920 is 29852136981.

189631258920 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 31 + 2 + 589 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22493266 + ... + 22501694.

It is an arithmetic number, because the mean of its divisors is an integer number (2540696625).

Almost surely, 2^189631258920 is an apocalyptic number.

189631258920 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 189631258920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325209168000).

189631258920 is an abundant number, since it is smaller than the sum of its proper divisors (460787077080).

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

189631258920 is a wasteful number, since it uses less digits than its factorization.

189631258920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 189631258920 in words is "one hundred eighty-nine billion, six hundred thirty-one million, two hundred fifty-eight thousand, nine hundred twenty".