11107549440 has 864 divisors, whose sum is σ = 44623103616. Its totient is φ = 2627665920.

The previous prime is 11107549331. The next prime is 11107549441. The reversal of 11107549440 is 4494570111.

11107549440 is a `hidden beast` number, since 1 + 1 + 107 + 549 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 11107549395 and 11107549404.

It is not an unprimeable number, because it can be changed into a prime (11107549441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165784287 + ... + 165784353.

Almost surely, 2^11107549440 is an apocalyptic number.

11107549440 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 11107549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311551808).

11107549440 is an abundant number, since it is smaller than the sum of its proper divisors (33515554176).

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

11107549440 is an equidigital number, since it uses as much as digits as its factorization.

11107549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11107549440 in words is "eleven billion, one hundred seven million, five hundred forty-nine thousand, four hundred forty".