11293894488320 has 144 divisors (see below), whose sum is σ = 27820050048000. Its totient is φ = 4391087652864.

The previous prime is 11293894488311. The next prime is 11293894488323. The reversal of 11293894488320 is 2388449839211.

It is a Cunningham number, because it is equal to 3360639²-1.

It is not an unprimeable number, because it can be changed into a prime (11293894488323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5881121 + ... + 7561439.

It is an arithmetic number, because the mean of its divisors is an integer number (193194792000).

Almost surely, 2^{11293894488320} is an apocalyptic number.

11293894488320 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 11293894488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910025024000).

11293894488320 is an abundant number, since it is smaller than the sum of its proper divisors (16526155559680).

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

11293894488320 is an equidigital number, since it uses as much as digits as its factorization.

11293894488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680488 (or 1680474 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 62.

The spelling of 11293894488320 in words is "eleven trillion, two hundred ninety-three billion, eight hundred ninety-four million, four hundred eighty-eight thousand, three hundred twenty".