11332798279680 has 208 divisors, whose sum is σ = 36266369900544. Its totient is φ = 3021592657920.

The previous prime is 11332798279651. The next prime is 11332798279687. The reversal of 11332798279680 is 8697289723311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332798279687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542566197 + ... + 542587083.

Almost surely, 2^{11332798279680} is an apocalyptic number.

11332798279680 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 11332798279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18133184950272).

11332798279680 is an abundant number, since it is smaller than the sum of its proper divisors (24933571620864).

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

11332798279680 is an equidigital number, since it uses as much as digits as its factorization.

11332798279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29750 (or 29728 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 66.

The spelling of 11332798279680 in words is "eleven trillion, three hundred thirty-two billion, seven hundred ninety-eight million, two hundred seventy-nine thousand, six hundred eighty".