189100852005888 has 264 divisors, whose sum is σ = 561712708170432. Its totient is φ = 61242147274752.

The previous prime is 189100852005809. The next prime is 189100852005907. The reversal of 189100852005888 is 888500258001981.

189100852005888 is a `hidden beast` number, since 18 + 9 + 10 + 0 + 8 + 5 + 20 + 0 + 588 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57748506 + ... + 60935142.

Almost surely, 2^{189100852005888} is an apocalyptic number.

189100852005888 is a gapful number since it is divisible by the number (18) 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 189100852005888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280856354085216).

189100852005888 is an abundant number, since it is smaller than the sum of its proper divisors (372611856164544).

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

189100852005888 is a wasteful number, since it uses less digits than its factorization.

189100852005888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186847 (or 3186826 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 63.

The spelling of 189100852005888 in words is "one hundred eighty-nine trillion, one hundred billion, eight hundred fifty-two million, five thousand, eight hundred eighty-eight".