91039334400 has 1080 divisors, whose sum is σ = 393319357200. Its totient is φ = 20808990720.

The previous prime is 91039334377. The next prime is 91039334443. The reversal of 91039334400 is 443393019.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13005619197 + ... + 13005619203.

It is an arithmetic number, because the mean of its divisors is an integer number (364184590).

Almost surely, 2^91039334400 is an apocalyptic number.

91039334400 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 91039334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196659678600).

91039334400 is an abundant number, since it is smaller than the sum of its proper divisors (302280022800).

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

91039334400 is an frugal number, since it uses more digits than its factorization.

91039334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 91039334400 in words is "ninety-one billion, thirty-nine million, three hundred thirty-four thousand, four hundred".