191080581120 has 1344 divisors, whose sum is σ = 812095502400. Its totient is φ = 42520412160.

The previous prime is 191080581101. The next prime is 191080581137. The reversal of 191080581120 is 21185080191.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1067489191 + ... + 1067489369.

It is an arithmetic number, because the mean of its divisors is an integer number (604237725).

Almost surely, 2^191080581120 is an apocalyptic number.

191080581120 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 191080581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406047751200).

191080581120 is an abundant number, since it is smaller than the sum of its proper divisors (621014921280).

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

191080581120 is a wasteful number, since it uses less digits than its factorization.

191080581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 191080581120 in words is "one hundred ninety-one billion, eighty million, five hundred eighty-one thousand, one hundred twenty".