91951598593920 has 1024 divisors, whose sum is σ = 337195945820160. Its totient is φ = 21137663754240.

The previous prime is 91951598593879. The next prime is 91951598593969. The reversal of 91951598593920 is 2939589515919.

It is a congruent number.

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, 11629134607 + ... + 11629142513.

It is an arithmetic number, because the mean of its divisors is an integer number (329292915840).

Almost surely, 2^{91951598593920} 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 91951598593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168597972910080).

91951598593920 is an abundant number, since it is smaller than the sum of its proper divisors (245244347226240).

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

91951598593920 is a wasteful number, since it uses less digits than its factorization.

91951598593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8443 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 354294000, while the sum is 75.

The spelling of 91951598593920 in words is "ninety-one trillion, nine hundred fifty-one billion, five hundred ninety-eight million, five hundred ninety-three thousand, nine hundred twenty".