11509642090 has 64 divisors (see below), whose sum is σ = 23004012960. Its totient is φ = 4126187520.

The previous prime is 11509642013. The next prime is 11509642097. The reversal of 11509642090 is 9024690511.

11509642090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 107283²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 681366609 + 10828275481 = 26103^2 + 104059^2 .

It is a super-2 number, since 2×11509642090² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11509642097) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 343900 + ... + 375880.

Almost surely, 2^11509642090 is an apocalyptic number.

11509642090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11509642090 is a deficient number, since it is larger than the sum of its proper divisors (11494370870).

11509642090 is a wasteful number, since it uses less digits than its factorization.

11509642090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32107.

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 11509642090 in words is "eleven billion, five hundred nine million, six hundred forty-two thousand, ninety".