91382921625600 has 2040 divisors, whose sum is σ = 375933207529440. Its totient is φ = 21757427712000.

The previous prime is 91382921625553. The next prime is 91382921625617. The reversal of 91382921625600 is 652612928319.

91382921625600 is a `hidden beast` number, since 9 + 1 + 3 + 8 + 2 + 9 + 2 + 1 + 6 + 25 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86129049070 + ... + 86129050130.

Almost surely, 2^{91382921625600} is an apocalyptic number.

91382921625600 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 91382921625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187966603764720).

91382921625600 is an abundant number, since it is smaller than the sum of its proper divisors (284550285903840).

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

91382921625600 is a wasteful number, since it uses less digits than its factorization.

91382921625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 91382921625600 in words is "ninety-one trillion, three hundred eighty-two billion, nine hundred twenty-one million, six hundred twenty-five thousand, six hundred".