11159809600 has 189 divisors, whose sum is σ = 29191441617. Its totient is φ = 4198556160.

The previous prime is 11159809561. The next prime is 11159809631. The reversal of 11159809600 is 690895111.

The square root of 11159809600 is 105640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4017531456 + 7142278144 = 63384^2 + 84512^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80286331 + ... + 80286469.

Almost surely, 2^11159809600 is an apocalyptic number.

11159809600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11159809600 is the 105640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11159809600

11159809600 is an abundant number, since it is smaller than the sum of its proper divisors (18031632017).

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

11159809600 is an equidigital number, since it uses as much as digits as its factorization.

11159809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 40.

The spelling of 11159809600 in words is "eleven billion, one hundred fifty-nine million, eight hundred nine thousand, six hundred".