11071965372 has 72 divisors (see below), whose sum is σ = 28075728240. Its totient is φ = 3394460160.

The previous prime is 11071965367. The next prime is 11071965397. The reversal of 11071965372 is 27356917011.

11071965372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 560154 + ... + 579582.

It is an arithmetic number, because the mean of its divisors is an integer number (389940670).

Almost surely, 2^11071965372 is an apocalyptic number.

11071965372 is a gapful number since it is divisible by the number (12) 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 11071965372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14037864120).

11071965372 is an abundant number, since it is smaller than the sum of its proper divisors (17003762868).

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

11071965372 is a wasteful number, since it uses less digits than its factorization.

11071965372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19743 (or 19728 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 11071965372 in words is "eleven billion, seventy-one million, nine hundred sixty-five thousand, three hundred seventy-two".