91117253898000 has 480 divisors, whose sum is σ = 365445598377600. Its totient is φ = 20926449792000.

The previous prime is 91117253897959. The next prime is 91117253898023. The reversal of 91117253898000 is 89835271119.

91117253898000 is a `hidden beast` number, since 9 + 1 + 1 + 17 + 2 + 538 + 98 + 0 + 0 + 0 = 666.

91117253898000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8348215 + ... + 15872214.

It is an arithmetic number, because the mean of its divisors is an integer number (761344996620).

Almost surely, 2^{91117253898000} is an apocalyptic number.

91117253898000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91117253898000 is an abundant number, since it is smaller than the sum of its proper divisors (274328344479600).

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

91117253898000 is a wasteful number, since it uses less digits than its factorization.

91117253898000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24220488 (or 24220469 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 91117253898000 in words is "ninety-one trillion, one hundred seventeen billion, two hundred fifty-three million, eight hundred ninety-eight thousand".