11627308900 has 81 divisors (see below), whose sum is σ = 25960373803. Its totient is φ = 4520233600.

The previous prime is 11627308877. The next prime is 11627308937. The reversal of 11627308900 is 980372611.

The square root of 11627308900 is 107830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4894121764 + 6733187136 = 69958^2 + 82056^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11627308900.

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, 44210169 + ... + 44210431.

Almost surely, 2^11627308900 is an apocalyptic number.

11627308900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11627308900 is the 107830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11627308900

11627308900 is an abundant number, since it is smaller than the sum of its proper divisors (14333064903).

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

11627308900 is an equidigital number, since it uses as much as digits as its factorization.

11627308900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 11627308900 in words is "eleven billion, six hundred twenty-seven million, three hundred eight thousand, nine hundred".