11011227175440 has 240 divisors, whose sum is σ = 38416177415616. Its totient is φ = 2931181862400.

The previous prime is 11011227175369. The next prime is 11011227175457. The reversal of 11011227175440 is 4457172211011.

11011227175440 is a `hidden beast` number, since 1 + 10 + 1 + 12 + 27 + 175 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11011227175395 and 11011227175404.

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 47 ways as a sum of consecutive naturals, for example, 10604250 + ... + 11596230.

Almost surely, 2^{11011227175440} is an apocalyptic number.

11011227175440 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 11011227175440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208088707808).

11011227175440 is an abundant number, since it is smaller than the sum of its proper divisors (27404950240176).

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

11011227175440 is an equidigital number, since it uses as much as digits as its factorization.

11011227175440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992580 (or 992562 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Adding to 11011227175440 its reverse (4457172211011), we get a palindrome (15468399386451).

The spelling of 11011227175440 in words is "eleven trillion, eleven billion, two hundred twenty-seven million, one hundred seventy-five thousand, four hundred forty".