189405108000 has 384 divisors, whose sum is σ = 691982403840. Its totient is φ = 50321433600.

The previous prime is 189405107959. The next prime is 189405108019. The reversal of 189405108000 is 801504981.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30560902 + ... + 30567098.

It is an arithmetic number, because the mean of its divisors is an integer number (1802037510).

Almost surely, 2^189405108000 is an apocalyptic number.

189405108000 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 189405108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345991201920).

189405108000 is an abundant number, since it is smaller than the sum of its proper divisors (502577295840).

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

189405108000 is a wasteful number, since it uses less digits than its factorization.

189405108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 189405108000 in words is "one hundred eighty-nine billion, four hundred five million, one hundred eight thousand".