91055364825600 has 2880 divisors, whose sum is σ = 409749211872000. Its totient is φ = 18839568384000.

The previous prime is 91055364825599. The next prime is 91055364825611. The reversal of 91055364825600 is 652846355019.

91055364825600 is a `hidden beast` number, since 9 + 1 + 0 + 5 + 5 + 3 + 6 + 4 + 8 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×91055364825600² (a number of 29 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 44876965386 + ... + 44876967414.

It is an arithmetic number, because the mean of its divisors is an integer number (142274031900).

Almost surely, 2^{91055364825600} is an apocalyptic number.

91055364825600 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 91055364825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204874605936000).

91055364825600 is an abundant number, since it is smaller than the sum of its proper divisors (318693847046400).

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

91055364825600 is a wasteful number, since it uses less digits than its factorization.

91055364825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 91055364825600 in words is "ninety-one trillion, fifty-five billion, three hundred sixty-four million, eight hundred twenty-five thousand, six hundred".