11011001110000 has 100 divisors (see below), whose sum is σ = 26661667054264. Its totient is φ = 4403916000000.

The previous prime is 11011001109991. The next prime is 11011001110013. The reversal of 11011001110000 is 1110011011.

It is a happy number.

11011001110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98954395 + ... + 99065605.

Almost surely, 2^{11011001110000} is an apocalyptic number.

11011001110000 is a gapful number since it is divisible by the number (10) 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 11011001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330833527132).

11011001110000 is an abundant number, since it is smaller than the sum of its proper divisors (15650665944264).

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

11011001110000 is an equidigital number, since it uses as much as digits as its factorization.

11011001110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121140 (or 121119 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11011001110000 its reverse (1110011011), we get a palindrome (11012111121011).

The spelling of 11011001110000 in words is "eleven trillion, eleven billion, one million, one hundred ten thousand".