91190880000 has 1440 divisors, whose sum is σ = 390789907200. Its totient is φ = 20736000000.

The previous prime is 91190879993. The next prime is 91190880013. The reversal of 91190880000 is 8809119.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 902879950 + ... + 902880050.

It is an arithmetic number, because the mean of its divisors is an integer number (271381880).

Almost surely, 2^91190880000 is an apocalyptic number.

91190880000 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 91190880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195394953600).

91190880000 is an abundant number, since it is smaller than the sum of its proper divisors (299599027200).

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

91190880000 is a wasteful number, since it uses less digits than its factorization.

91190880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 91190880000 in words is "ninety-one billion, one hundred ninety million, eight hundred eighty thousand".