11164561040 has 40 divisors (see below), whose sum is σ = 26023062840. Its totient is φ = 4454562816.

The previous prime is 11164561039. The next prime is 11164561099. The reversal of 11164561040 is 4016546111.

It is a happy number.

11164561040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3479584144 + 7684976896 = 58988^2 + 87664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11164560994 and 11164561012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144005 + ... + 207524.

It is an arithmetic number, because the mean of its divisors is an integer number (650576571).

Almost surely, 2^11164561040 is an apocalyptic number.

11164561040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11164561040 is an abundant number, since it is smaller than the sum of its proper divisors (14858501800).

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

11164561040 is a wasteful number, since it uses less digits than its factorization.

11164561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351939 (or 351933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 11164561040 in words is "eleven billion, one hundred sixty-four million, five hundred sixty-one thousand, forty".