91171941120 has 1440 divisors, whose sum is σ = 390407859072. Its totient is φ = 20087046144.

The previous prime is 91171941109. The next prime is 91171941167. The reversal of 91171941120 is 2114917119.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 527005354 + ... + 527005526.

Almost surely, 2^91171941120 is an apocalyptic number.

91171941120 is a gapful number since it is divisible by the number (90) 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 91171941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195203929536).

91171941120 is an abundant number, since it is smaller than the sum of its proper divisors (299235917952).

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

91171941120 is a wasteful number, since it uses less digits than its factorization.

91171941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 91171941120 in words is "ninety-one billion, one hundred seventy-one million, nine hundred forty-one thousand, one hundred twenty".