91064899200 has 768 divisors, whose sum is σ = 339140436480. Its totient is φ = 21288960000.

The previous prime is 91064899199. The next prime is 91064899201. The reversal of 91064899200 is 299846019.

It is an interprime number because it is at equal distance from previous prime (91064899199) and next prime (91064899201).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 91064899200.

It is not an unprimeable number, because it can be changed into a prime (91064899201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431587095 + ... + 431587305.

It is an arithmetic number, because the mean of its divisors is an integer number (441589110).

Almost surely, 2^91064899200 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 91064899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169570218240).

91064899200 is an abundant number, since it is smaller than the sum of its proper divisors (248075537280).

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

91064899200 is a wasteful number, since it uses less digits than its factorization.

91064899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 91064899200 in words is "ninety-one billion, sixty-four million, eight hundred ninety-nine thousand, two hundred".