91119168000 has 1440 divisors, whose sum is σ = 402049410048. Its totient is φ = 20155392000.

The previous prime is 91119167987. The next prime is 91119168001. The reversal of 91119168000 is 86191119.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91119168001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2939327985 + ... + 2939328015.

Almost surely, 2^91119168000 is an apocalyptic number.

91119168000 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 91119168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201024705024).

91119168000 is an abundant number, since it is smaller than the sum of its proper divisors (310930242048).

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

91119168000 is an frugal number, since it uses more digits than its factorization.

91119168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 91119168000 in words is "ninety-one billion, one hundred nineteen million, one hundred sixty-eight thousand".