91125530496 has 1536 divisors, whose sum is σ = 379761177600. Its totient is φ = 21134131200.

The previous prime is 91125530479. The next prime is 91125530497. The reversal of 91125530496 is 69403552119.

91125530496 is a `hidden beast` number, since 9 + 1 + 1 + 2 + 553 + 0 + 4 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91125530497) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1283458141 + ... + 1283458211.

It is an arithmetic number, because the mean of its divisors is an integer number (247240350).

Almost surely, 2^91125530496 is an apocalyptic number.

91125530496 is a gapful number since it is divisible by the number (96) 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 91125530496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189880588800).

91125530496 is an abundant number, since it is smaller than the sum of its proper divisors (288635647104).

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

91125530496 is a wasteful number, since it uses less digits than its factorization.

91125530496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 91125530496 in words is "ninety-one billion, one hundred twenty-five million, five hundred thirty thousand, four hundred ninety-six".