11521055821440 has 256 divisors, whose sum is σ = 40070321049600. Its totient is φ = 2792392888320.

The previous prime is 11521055821427. The next prime is 11521055821489. The reversal of 11521055821440 is 4412855012511.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104340981 + ... + 104451339.

It is an arithmetic number, because the mean of its divisors is an integer number (156524691600).

Almost surely, 2^{11521055821440} is an apocalyptic number.

11521055821440 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 11521055821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20035160524800).

11521055821440 is an abundant number, since it is smaller than the sum of its proper divisors (28549265228160).

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

11521055821440 is a wasteful number, since it uses less digits than its factorization.

11521055821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115335 (or 115323 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 39.

The spelling of 11521055821440 in words is "eleven trillion, five hundred twenty-one billion, fifty-five million, eight hundred twenty-one thousand, four hundred forty".