11158817040 has 960 divisors, whose sum is σ = 48854016000. Its totient is φ = 2325335040.

The previous prime is 11158817023. The next prime is 11158817041. The reversal of 11158817040 is 4071885111.

11158817040 is a `hidden beast` number, since 1 + 1 + 1 + 588 + 1 + 70 + 4 + 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 = 11158816986 and 11158817004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11158817041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62339671 + ... + 62339849.

It is an arithmetic number, because the mean of its divisors is an integer number (50889600).

Almost surely, 2^11158817040 is an apocalyptic number.

11158817040 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 11158817040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427008000).

11158817040 is an abundant number, since it is smaller than the sum of its proper divisors (37695198960).

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

11158817040 is a wasteful number, since it uses less digits than its factorization.

11158817040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 11158817040 in words is "eleven billion, one hundred fifty-eight million, eight hundred seventeen thousand, forty".