11271823920 has 400 divisors, whose sum is σ = 45789807360. Its totient is φ = 2516064768.

The previous prime is 11271823903. The next prime is 11271823951. The reversal of 11271823920 is 2932817211.

11271823920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 1947591 + ... + 1953369.

Almost surely, 2^11271823920 is an apocalyptic number.

11271823920 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 11271823920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22894903680).

11271823920 is an abundant number, since it is smaller than the sum of its proper divisors (34517983440).

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

11271823920 is a wasteful number, since it uses less digits than its factorization.

11271823920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11271823920 in words is "eleven billion, two hundred seventy-one million, eight hundred twenty-three thousand, nine hundred twenty".