11321335872 has 224 divisors, whose sum is σ = 41495715840. Its totient is φ = 2940572160.

The previous prime is 11321335867. The next prime is 11321335919. The reversal of 11321335872 is 27853312311.

It is a happy number.

11321335872 is a `hidden beast` number, since 11 + 32 + 1 + 33 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90513 + ... + 175599.

Almost surely, 2^11321335872 is an apocalyptic number.

11321335872 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 11321335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20747857920).

11321335872 is an abundant number, since it is smaller than the sum of its proper divisors (30174379968).

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

11321335872 is a wasteful number, since it uses less digits than its factorization.

11321335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85126 (or 85110 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 11321335872 in words is "eleven billion, three hundred twenty-one million, three hundred thirty-five thousand, eight hundred seventy-two".