11909356900 has 81 divisors (see below), whose sum is σ = 30081915129. Its totient is φ = 4080588960.

The previous prime is 11909356897. The next prime is 11909356909. The reversal of 11909356900 is 965390911.

The square root of 11909356900 is 109130.

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., 4287368484 + 7621988416 = 65478^2 + 87304^2 .

It is a super-2 number, since 2×11909356900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11909356909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7638321 + ... + 7639879.

Almost surely, 2^11909356900 is an apocalyptic number.

11909356900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11909356900 is the 109130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11909356900

11909356900 is an abundant number, since it is smaller than the sum of its proper divisors (18172558229).

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

11909356900 is an equidigital number, since it uses as much as digits as its factorization.

11909356900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 43.

The spelling of 11909356900 in words is "eleven billion, nine hundred nine million, three hundred fifty-six thousand, nine hundred".