11242866631680 has 528 divisors, whose sum is σ = 42168885171840. Its totient is φ = 2840290541568.

The previous prime is 11242866631553. The next prime is 11242866631687. The reversal of 11242866631680 is 8613666824211.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11242866631687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49791997 + ... + 50017283.

Almost surely, 2^{11242866631680} is an apocalyptic number.

11242866631680 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 11242866631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21084442585920).

11242866631680 is an abundant number, since it is smaller than the sum of its proper divisors (30926018540160).

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

11242866631680 is a wasteful number, since it uses less digits than its factorization.

11242866631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225359 (or 225316 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 11242866631680 in words is "eleven trillion, two hundred forty-two billion, eight hundred sixty-six million, six hundred thirty-one thousand, six hundred eighty".