11210552240 has 80 divisors (see below), whose sum is σ = 26661463200. Its totient is φ = 4382416896.

The previous prime is 11210552219. The next prime is 11210552261. The reversal of 11210552240 is 4225501211.

11210552240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11210552219) and next prime (11210552261).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 809696 + ... + 823424.

It is an arithmetic number, because the mean of its divisors is an integer number (333268290).

Almost surely, 2^11210552240 is an apocalyptic number.

11210552240 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 11210552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330731600).

11210552240 is an abundant number, since it is smaller than the sum of its proper divisors (15450910960).

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

11210552240 is a wasteful number, since it uses less digits than its factorization.

11210552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13974 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 11210552240 in words is "eleven billion, two hundred ten million, five hundred fifty-two thousand, two hundred forty".