91393874695200 has 1152 divisors, whose sum is σ = 380261325717504. Its totient is φ = 18512976384000.

The previous prime is 91393874695199. The next prime is 91393874695219. The reversal of 91393874695200 is 259647839319.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4155956205 + ... + 4155978195.

It is an arithmetic number, because the mean of its divisors is an integer number (330087956352).

It is a 1-persistent number, because it is pandigital, but 2⋅91393874695200 = 182787749390400 is not.

Almost surely, 2^{91393874695200} 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 91393874695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190130662858752).

91393874695200 is an abundant number, since it is smaller than the sum of its proper divisors (288867451022304).

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

91393874695200 is a wasteful number, since it uses less digits than its factorization.

91393874695200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22598 (or 22585 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 91393874695200 in words is "ninety-one trillion, three hundred ninety-three billion, eight hundred seventy-four million, six hundred ninety-five thousand, two hundred".