9900891513000 has 384 divisors, whose sum is σ = 34261661491200. Its totient is φ = 2577451968000.

The previous prime is 9900891512929. The next prime is 9900891513049. The reversal of 9900891513000 is 3151980099.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 859521241 + ... + 859532759.

It is an arithmetic number, because the mean of its divisors is an integer number (89223076800).

Almost surely, 2^{9900891513000} is an apocalyptic number.

9900891513000 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 9900891513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130830745600).

9900891513000 is an abundant number, since it is smaller than the sum of its proper divisors (24360769978200).

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

9900891513000 is a wasteful number, since it uses less digits than its factorization.

9900891513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13810 (or 13793 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 9900891513000 in words is "nine trillion, nine hundred billion, eight hundred ninety-one million, five hundred thirteen thousand".