8189900991360 has 1152 divisors, whose sum is σ = 32481926830080. Its totient is φ = 1897819545600.

The previous prime is 8189900991253. The next prime is 8189900991383. The reversal of 8189900991360 is 631990099818.

8189900991360 is a `hidden beast` number, since 8 + 189 + 9 + 0 + 0 + 9 + 91 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1793275797 + ... + 1793280363.

It is an arithmetic number, because the mean of its divisors is an integer number (28196117040).

Almost surely, 2^{8189900991360} is an apocalyptic number.

8189900991360 is a gapful number since it is divisible by the number (80) 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 8189900991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240963415040).

8189900991360 is an abundant number, since it is smaller than the sum of its proper divisors (24292025838720).

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

8189900991360 is a wasteful number, since it uses less digits than its factorization.

8189900991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 8189900991360 in words is "eight trillion, one hundred eighty-nine billion, nine hundred million, nine hundred ninety-one thousand, three hundred sixty".