11521083840 has 336 divisors, whose sum is σ = 42761989152. Its totient is φ = 2620391424.

The previous prime is 11521083829. The next prime is 11521083859. The reversal of 11521083840 is 4838012511.

11521083840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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, 12088804 + ... + 12089756.

Almost surely, 2^11521083840 is an apocalyptic number.

11521083840 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 11521083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21380994576).

11521083840 is an abundant number, since it is smaller than the sum of its proper divisors (31240905312).

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

11521083840 is a wasteful number, since it uses less digits than its factorization.

11521083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 11521083840 in words is "eleven billion, five hundred twenty-one million, eighty-three thousand, eight hundred forty".