11225227637160 has 192 divisors, whose sum is σ = 36596820546000. Its totient is φ = 2983977418752.

The previous prime is 11225227637111. The next prime is 11225227637189. The reversal of 11225227637160 is 6173672252211.

11225227637160 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 5 + 2 + 2 + 7 + 637 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1692065030436 + 9533162606724 = 1300794^2 + 3087582^2 .

It is a super-2 number, since 2×11225227637160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466752816 + ... + 466776864.

Almost surely, 2^{11225227637160} is an apocalyptic number.

11225227637160 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 11225227637160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18298410273000).

11225227637160 is an abundant number, since it is smaller than the sum of its proper divisors (25371592908840).

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

11225227637160 is a wasteful number, since it uses less digits than its factorization.

11225227637160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28092 (or 28085 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Adding to 11225227637160 its reverse (6173672252211), we get a palindrome (17398899889371).

The spelling of 11225227637160 in words is "eleven trillion, two hundred twenty-five billion, two hundred twenty-seven million, six hundred thirty-seven thousand, one hundred sixty".