91056413817600 has 1296 divisors, whose sum is σ = 377817734784000. Its totient is φ = 18904596480000.

The previous prime is 91056413817553. The next prime is 91056413817601. The reversal of 91056413817600 is 671831465019.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (91056413817601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32508536200 + ... + 32508539000.

Almost surely, 2^{91056413817600} 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 91056413817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188908867392000).

91056413817600 is an abundant number, since it is smaller than the sum of its proper divisors (286761320966400).

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

91056413817600 is a wasteful number, since it uses less digits than its factorization.

91056413817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 91056413817600 in words is "ninety-one trillion, fifty-six billion, four hundred thirteen million, eight hundred seventeen thousand, six hundred".