11662643200 has 156 divisors (see below), whose sum is σ = 31147981228. Its totient is φ = 4305715200.

The previous prime is 11662643197. The next prime is 11662643203. The reversal of 11662643200 is 234626611.

It is an interprime number because it is at equal distance from previous prime (11662643197) and next prime (11662643203).

It can be written as a sum of positive squares in 6 ways, for example, as 3565522944 + 8097120256 = 59712^2 + 89984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11662643203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1326820 + ... + 1335580.

Almost surely, 2^11662643200 is an apocalyptic number.

11662643200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11662643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573990614).

11662643200 is an abundant number, since it is smaller than the sum of its proper divisors (19485338028).

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

11662643200 is an equidigital number, since it uses as much as digits as its factorization.

11662643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8808 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 11662643200 in words is "eleven billion, six hundred sixty-two million, six hundred forty-three thousand, two hundred".