91335404160000 has 7920 divisors, whose sum is σ = 471278974053888. Its totient is φ = 16721510400000.

The previous prime is 91335404159933. The next prime is 91335404160037. The reversal of 91335404160000 is 6140453319.

91335404160000 is a `hidden beast` number, since 9 + 1 + 3 + 3 + 5 + 4 + 0 + 41 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1251169919964 + ... + 1251169920036.

Almost surely, 2^{91335404160000} is an apocalyptic number.

91335404160000 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 91335404160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235639487026944).

91335404160000 is an abundant number, since it is smaller than the sum of its proper divisors (379943569893888).

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

91335404160000 is a wasteful number, since it uses less digits than its factorization.

91335404160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 91335404160000 in words is "ninety-one trillion, three hundred thirty-five billion, four hundred four million, one hundred sixty thousand".