11242164528800 has 36 divisors (see below), whose sum is σ = 27444934157886. Its totient is φ = 4496865811200.

The previous prime is 11242164528697. The next prime is 11242164528827. The reversal of 11242164528800 is 882546124211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7151367033616 + 4090797495184 = 2674204^2 + 2022572^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7026352031 + ... + 7026353630.

Almost surely, 2^{11242164528800} is an apocalyptic number.

11242164528800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242164528800 is an abundant number, since it is smaller than the sum of its proper divisors (16202769629086).

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

11242164528800 is a wasteful number, since it uses less digits than its factorization.

11242164528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14052705681 (or 14052705668 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 11242164528800 in words is "eleven trillion, two hundred forty-two billion, one hundred sixty-four million, five hundred twenty-eight thousand, eight hundred".