91909809849000 has 512 divisors, whose sum is σ = 336952115136000. Its totient is φ = 20563513344000.

The previous prime is 91909809848959. The next prime is 91909809849019. The reversal of 91909809849000 is 94890890919.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 2869564986 + ... + 2869597014.

It is an arithmetic number, because the mean of its divisors is an integer number (658109599875).

Almost surely, 2^{91909809849000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91909809849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168476057568000).

91909809849000 is an abundant number, since it is smaller than the sum of its proper divisors (245042305287000).

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

91909809849000 is a wasteful number, since it uses less digits than its factorization.

91909809849000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38766 (or 38752 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 66.

The spelling of 91909809849000 in words is "ninety-one trillion, nine hundred nine billion, eight hundred nine million, eight hundred forty-nine thousand".