91088507664 has 960 divisors, whose sum is σ = 346436040960. Its totient is φ = 22832409600.

The previous prime is 91088507663. The next prime is 91088507669. The reversal of 91088507664 is 46670588019.

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

It is a self number, because there is not a number n which added to its sum of digits gives 91088507664.

It is not an unprimeable number, because it can be changed into a prime (91088507663) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1493254194 + ... + 1493254254.

It is an arithmetic number, because the mean of its divisors is an integer number (360870876).

Almost surely, 2^91088507664 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 91088507664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173218020480).

91088507664 is an abundant number, since it is smaller than the sum of its proper divisors (255347533296).

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

91088507664 is a wasteful number, since it uses less digits than its factorization.

91088507664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 91088507664 in words is "ninety-one billion, eighty-eight million, five hundred seven thousand, six hundred sixty-four".