191941102080 has 960 divisors, whose sum is σ = 837568892160. Its totient is φ = 39537082368.

The previous prime is 191941102057. The next prime is 191941102091. The reversal of 191941102080 is 80201149191.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90154456 + ... + 90156584.

It is an arithmetic number, because the mean of its divisors is an integer number (872467596).

Almost surely, 2^191941102080 is an apocalyptic number.

191941102080 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 191941102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418784446080).

191941102080 is an abundant number, since it is smaller than the sum of its proper divisors (645627790080).

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

191941102080 is a wasteful number, since it uses less digits than its factorization.

191941102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 191941102080 in words is "one hundred ninety-one billion, nine hundred forty-one million, one hundred two thousand, eighty".