11011111400 has 48 divisors (see below), whose sum is σ = 25635636000. Its totient is φ = 4398457280.

The previous prime is 11011111387. The next prime is 11011111451. The reversal of 11011111400 is 411111011.

It is a happy number.

It is a super-3 number, since 3×11011111400³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111551 + ... + 185649.

It is an arithmetic number, because the mean of its divisors is an integer number (534075750).

Almost surely, 2^11011111400 is an apocalyptic number.

11011111400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011111400 is an abundant number, since it is smaller than the sum of its proper divisors (14624524600).

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

11011111400 is a wasteful number, since it uses less digits than its factorization.

11011111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74858 (or 74849 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11011111400 its reverse (411111011), we get a palindrome (11422222411).

The spelling of 11011111400 in words is "eleven billion, eleven million, one hundred eleven thousand, four hundred".