8189993877120 has 640 divisors, whose sum is σ = 31964000777280. Its totient is φ = 1981897113600.

The previous prime is 8189993877113. The next prime is 8189993877181. The reversal of 8189993877120 is 217783999818.

8189993877120 is a `hidden beast` number, since 81 + 89 + 9 + 9 + 387 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 325594464 + ... + 325619616.

Almost surely, 2^{8189993877120} is an apocalyptic number.

8189993877120 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 8189993877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982000388640).

8189993877120 is an abundant number, since it is smaller than the sum of its proper divisors (23774006900160).

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

8189993877120 is a wasteful number, since it uses less digits than its factorization.

8189993877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25766 (or 25745 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 72.

The spelling of 8189993877120 in words is "eight trillion, one hundred eighty-nine billion, nine hundred ninety-three million, eight hundred seventy-seven thousand, one hundred twenty".