11225118090240 has 264 divisors, whose sum is σ = 40941836732160. Its totient is φ = 2835819085824.

The previous prime is 11225118090239. The next prime is 11225118090253. The reversal of 11225118090240 is 4209081152211.

11225118090240 is a `hidden beast` number, since 1 + 1 + 2 + 251 + 1 + 80 + 90 + 240 = 666.

It is a super-2 number, since 2×11225118090240² (a number of 27 digits) contains 22 as substring.

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 = 11225118090195 and 11225118090204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5535024 + ... + 7286063.

Almost surely, 2^{11225118090240} is an apocalyptic number.

11225118090240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11225118090240 is an abundant number, since it is smaller than the sum of its proper divisors (29716718641920).

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

11225118090240 is a wasteful number, since it uses less digits than its factorization.

11225118090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12821137 (or 12821116 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11225118090240 in words is "eleven trillion, two hundred twenty-five billion, one hundred eighteen million, ninety thousand, two hundred forty".