189901118206800 has 3840 divisors, whose sum is σ = 948211950551040. Its totient is φ = 34819808256000.

The previous prime is 189901118206781. The next prime is 189901118206823. The reversal of 189901118206800 is 8602811109981.

189901118206800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 27816184987 + ... + 27816191813.

It is an arithmetic number, because the mean of its divisors is an integer number (246930195456).

Almost surely, 2^{189901118206800} is an apocalyptic number.

189901118206800 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 189901118206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474105975275520).

189901118206800 is an abundant number, since it is smaller than the sum of its proper divisors (758310832344240).

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

189901118206800 is a wasteful number, since it uses less digits than its factorization.

189901118206800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 54.

The spelling of 189901118206800 in words is "one hundred eighty-nine trillion, nine hundred one billion, one hundred eighteen million, two hundred six thousand, eight hundred".