11082815788891 has 96 divisors (see below), whose sum is σ = 15264711512064. Its totient is φ = 7925589504000.

The previous prime is 11082815788867. The next prime is 11082815788963. The reversal of 11082815788891 is 19888751828011.

11082815788891 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11082815788891 - 2⁹ = 11082815788379 is a prime.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11082815788801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116661651 + ... + 116756611.

It is an arithmetic number, because the mean of its divisors is an integer number (159007411584).

Almost surely, 2^{11082815788891} is an apocalyptic number.

11082815788891 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11082815788891 is a deficient number, since it is larger than the sum of its proper divisors (4181895723173).

11082815788891 is a wasteful number, since it uses less digits than its factorization.

11082815788891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95321 (or 95314 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 67.

The spelling of 11082815788891 in words is "eleven trillion, eighty-two billion, eight hundred fifteen million, seven hundred eighty-eight thousand, eight hundred ninety-one".