91009679144320 has 384 divisors, whose sum is σ = 230234711091840. Its totient is φ = 34387463405568.

The previous prime is 91009679144227. The next prime is 91009679144353. The reversal of 91009679144320 is 2344197690019.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10469301894 + ... + 10469310586.

It is an arithmetic number, because the mean of its divisors is an integer number (599569560135).

Almost surely, 2^{91009679144320} 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 91009679144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115117355545920).

91009679144320 is an abundant number, since it is smaller than the sum of its proper divisors (139225031947520).

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

91009679144320 is a wasteful number, since it uses less digits than its factorization.

91009679144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 91009679144320 in words is "ninety-one trillion, nine billion, six hundred seventy-nine million, one hundred forty-four thousand, three hundred twenty".