91009828266240 has 288 divisors, whose sum is σ = 313257418016256. Its totient is φ = 22385520967680.

The previous prime is 91009828266229. The next prime is 91009828266271. The reversal of 91009828266240 is 4266282890019.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 65556910 + ... + 66930770.

It is an arithmetic number, because the mean of its divisors is an integer number (1087699368112).

Almost surely, 2^{91009828266240} 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 91009828266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156628709008128).

91009828266240 is an abundant number, since it is smaller than the sum of its proper divisors (222247589750016).

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

91009828266240 is a wasteful number, since it uses less digits than its factorization.

91009828266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375225 (or 1375211 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 91009828266240 in words is "ninety-one trillion, nine billion, eight hundred twenty-eight million, two hundred sixty-six thousand, two hundred forty".