11140221600 has 180 divisors, whose sum is σ = 40626458334. Its totient is φ = 2970708480.

The previous prime is 11140221593. The next prime is 11140221619. The reversal of 11140221600 is 612204111.

11140221600 is a `hidden beast` number, since 1 + 1 + 1 + 40 + 2 + 21 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7709542416 + 3430679184 = 87804^2 + 58572^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21159 + ... + 150758.

Almost surely, 2^11140221600 is an apocalyptic number.

11140221600 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 11140221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313229167).

11140221600 is an abundant number, since it is smaller than the sum of its proper divisors (29486236734).

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

11140221600 is a wasteful number, since it uses less digits than its factorization.

11140221600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171949 (or 171927 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11140221600 its reverse (612204111), we get a palindrome (11752425711).

The spelling of 11140221600 in words is "eleven billion, one hundred forty million, two hundred twenty-one thousand, six hundred".