11267822500 has 135 divisors (see below), whose sum is σ = 27225217173. Its totient is φ = 4076160000.

The previous prime is 11267822471. The next prime is 11267822507. The reversal of 11267822500 is 522876211.

It is a happy number.

The square root of 11267822500 is 106150.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10677915556 + 589906944 = 103334^2 + 24288^2 .

It is not an unprimeable number, because it can be changed into a prime (11267822507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58382404 + ... + 58382596.

Almost surely, 2^11267822500 is an apocalyptic number.

11267822500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11267822500 is the 106150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11267822500

11267822500 is an abundant number, since it is smaller than the sum of its proper divisors (15957394673).

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

11267822500 is an equidigital number, since it uses as much as digits as its factorization.

11267822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 11267822500 in words is "eleven billion, two hundred sixty-seven million, eight hundred twenty-two thousand, five hundred".