91338629088960 has 1120 divisors, whose sum is σ = 379424654611200. Its totient is φ = 20621673308160.

The previous prime is 91338629088907. The next prime is 91338629089003. The reversal of 91338629088960 is 6988092683319.

91338629088960 is a `hidden beast` number, since 91 + 3 + 386 + 29 + 0 + 8 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 159 ways as a sum of consecutive naturals, for example, 319476634 + ... + 319762406.

Almost surely, 2^{91338629088960} is an apocalyptic number.

91338629088960 is a gapful number since it is divisible by the number (90) 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 91338629088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189712327305600).

91338629088960 is an abundant number, since it is smaller than the sum of its proper divisors (288086025522240).

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

91338629088960 is a wasteful number, since it uses less digits than its factorization.

91338629088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285891 (or 285872 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 91338629088960 in words is "ninety-one trillion, three hundred thirty-eight billion, six hundred twenty-nine million, eighty-eight thousand, nine hundred sixty".