11161866240 has 624 divisors, whose sum is σ = 45509982336. Its totient is φ = 2477260800.

The previous prime is 11161866187. The next prime is 11161866251. The reversal of 11161866240 is 4266816111.

11161866240 is a `hidden beast` number, since 1 + 1 + 16 + 18 + 6 + 624 + 0 = 666.

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 = 11161866195 and 11161866204.

It is a congruent number.

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, 52899735 + ... + 52899945.

It is an arithmetic number, because the mean of its divisors is an integer number (72932664).

Almost surely, 2^11161866240 is an apocalyptic number.

11161866240 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 11161866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22754991168).

11161866240 is an abundant number, since it is smaller than the sum of its proper divisors (34348116096).

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

11161866240 is a wasteful number, since it uses less digits than its factorization.

11161866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11161866240 in words is "eleven billion, one hundred sixty-one million, eight hundred sixty-six thousand, two hundred forty".