9191010000900 has 576 divisors, whose sum is σ = 33837172060160. Its totient is φ = 1874264832000.

The previous prime is 9191010000859. The next prime is 9191010000901. The reversal of 9191010000900 is 90000101919.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9191010000901) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 152494971 + ... + 152555229.

Almost surely, 2^{9191010000900} 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 9191010000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16918586030080).

9191010000900 is an abundant number, since it is smaller than the sum of its proper divisors (24646162059260).

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

9191010000900 is a wasteful number, since it uses less digits than its factorization.

9191010000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60484 (or 60477 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 9191010000900 in words is "nine trillion, one hundred ninety-one billion, ten million, nine hundred", and thus it is an aban number.