191999488443120 has 640 divisors, whose sum is σ = 695992632192000. Its totient is φ = 48578252083200.

The previous prime is 191999488442953. The next prime is 191999488443137. The reversal of 191999488443120 is 21344884999191.

191999488443120 is a `hidden beast` number, since 1 + 9 + 1 + 9 + 9 + 94 + 8 + 84 + 431 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11778378970 + ... + 11778395270.

It is an arithmetic number, because the mean of its divisors is an integer number (1087488487800).

Almost surely, 2^{191999488443120} is an apocalyptic number.

191999488443120 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 191999488443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347996316096000).

191999488443120 is an abundant number, since it is smaller than the sum of its proper divisors (503993143748880).

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

191999488443120 is a wasteful number, since it uses less digits than its factorization.

191999488443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19598 (or 19586 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 191999488443120 in words is "one hundred ninety-one trillion, nine hundred ninety-nine billion, four hundred eighty-eight million, four hundred forty-three thousand, one hundred twenty".