91080775440720 has 640 divisors, whose sum is σ = 340094757542400. Its totient is φ = 22271403589632.

The previous prime is 91080775440713. The next prime is 91080775440731. The reversal of 91080775440720 is 2704457708019.

91080775440720 is a `hidden beast` number, since 9 + 1 + 0 + 8 + 0 + 77 + 544 + 0 + 7 + 20 = 666.

91080775440720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13259681446 + ... + 13259688314.

It is an arithmetic number, because the mean of its divisors is an integer number (531398058660).

Almost surely, 2^{91080775440720} is an apocalyptic number.

91080775440720 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 91080775440720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170047378771200).

91080775440720 is an abundant number, since it is smaller than the sum of its proper divisors (249013982101680).

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

91080775440720 is a wasteful number, since it uses less digits than its factorization.

91080775440720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 91080775440720 in words is "ninety-one trillion, eighty billion, seven hundred seventy-five million, four hundred forty thousand, seven hundred twenty".