11331366842880 has 640 divisors, whose sum is σ = 46191299996160. Its totient is φ = 2579253166080.

The previous prime is 11331366842753. The next prime is 11331366842909. The reversal of 11331366842880 is 8824866313311.

11331366842880 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 136 + 6 + 8 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116556852 + ... + 116654028.

It is an arithmetic number, because the mean of its divisors is an integer number (72173906244).

Almost surely, 2^{11331366842880} is an apocalyptic number.

11331366842880 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 11331366842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23095649998080).

11331366842880 is an abundant number, since it is smaller than the sum of its proper divisors (34859933153280).

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

11331366842880 is an equidigital number, since it uses as much as digits as its factorization.

11331366842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97457 (or 97435 counting only the distinct ones).

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

The spelling of 11331366842880 in words is "eleven trillion, three hundred thirty-one billion, three hundred sixty-six million, eight hundred forty-two thousand, eight hundred eighty".