11135099872 has 144 divisors (see below), whose sum is σ = 25404775200. Its totient is φ = 4773510144.

The previous prime is 11135099867. The next prime is 11135099879. The reversal of 11135099872 is 27899053111.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11135099879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7958629 + ... + 7960027.

It is an arithmetic number, because the mean of its divisors is an integer number (176422050).

Almost surely, 2^11135099872 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 11135099872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702387600).

11135099872 is an abundant number, since it is smaller than the sum of its proper divisors (14269675328).

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

11135099872 is a wasteful number, since it uses less digits than its factorization.

11135099872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 11135099872 in words is "eleven billion, one hundred thirty-five million, ninety-nine thousand, eight hundred seventy-two".