11205922432 has 64 divisors (see below), whose sum is σ = 22525272000. Its totient is φ = 5552769024.

The previous prime is 11205922423. The next prime is 11205922463. The reversal of 11205922432 is 23422950211.

11205922432 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 11205922394 and 11205922403.

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 7 ways as a sum of consecutive naturals, for example, 7819188 + ... + 7820620.

It is an arithmetic number, because the mean of its divisors is an integer number (351957375).

Almost surely, 2^11205922432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11205922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11262636000).

11205922432 is an abundant number, since it is smaller than the sum of its proper divisors (11319349568).

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

11205922432 is a wasteful number, since it uses less digits than its factorization.

11205922432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 11205922432 in words is "eleven billion, two hundred five million, nine hundred twenty-two thousand, four hundred thirty-two".