91768710528 has 384 divisors, whose sum is σ = 301699157760. Its totient is φ = 26503065600.

The previous prime is 91768710493. The next prime is 91768710529. The reversal of 91768710528 is 82501786719.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91768710529) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 134360875 + ... + 134361557.

It is an arithmetic number, because the mean of its divisors is an integer number (785674890).

Almost surely, 2^91768710528 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 91768710528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150849578880).

91768710528 is an abundant number, since it is smaller than the sum of its proper divisors (209930447232).

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

91768710528 is a wasteful number, since it uses less digits than its factorization.

91768710528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 91768710528 in words is "ninety-one billion, seven hundred sixty-eight million, seven hundred ten thousand, five hundred twenty-eight".