189719103968240 has 480 divisors, whose sum is σ = 561321448128000. Its totient is φ = 57917009479680.

The previous prime is 189719103968231. The next prime is 189719103968291. The reversal of 189719103968240 is 42869301917981.

189719103968240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155126004269 + ... + 155126005491.

It is an arithmetic number, because the mean of its divisors is an integer number (1169419683600).

Almost surely, 2^{189719103968240} is an apocalyptic number.

189719103968240 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 189719103968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280660724064000).

189719103968240 is an abundant number, since it is smaller than the sum of its proper divisors (371602344159760).

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

189719103968240 is a wasteful number, since it uses less digits than its factorization.

189719103968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 68.

The spelling of 189719103968240 in words is "one hundred eighty-nine trillion, seven hundred nineteen billion, one hundred three million, nine hundred sixty-eight thousand, two hundred forty".