91065205101696 has 768 divisors, whose sum is σ = 318474052888320. Its totient is φ = 22852042752000.

The previous prime is 91065205101677. The next prime is 91065205101709. The reversal of 91065205101696 is 69610150256019.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 95 ways as a sum of consecutive naturals, for example, 301488346 + ... + 301790246.

It is an arithmetic number, because the mean of its divisors is an integer number (414679756365).

Almost surely, 2^{91065205101696} is an apocalyptic number.

91065205101696 is a gapful number since it is divisible by the number (96) 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 91065205101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159237026444160).

91065205101696 is an abundant number, since it is smaller than the sum of its proper divisors (227408847786624).

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

91065205101696 is a wasteful number, since it uses less digits than its factorization.

91065205101696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302013 (or 301994 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 51.

The spelling of 91065205101696 in words is "ninety-one trillion, sixty-five billion, two hundred five million, one hundred one thousand, six hundred ninety-six".