11872831824 has 640 divisors, whose sum is σ = 43557212160. Its totient is φ = 3019161600.

The previous prime is 11872831819. The next prime is 11872831843. The reversal of 11872831824 is 42813827811.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (172032) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 11872831824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90632239 + ... + 90632369.

It is an arithmetic number, because the mean of its divisors is an integer number (68058144).

Almost surely, 2^11872831824 is an apocalyptic number.

11872831824 is a gapful number since it is divisible by the number (14) 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 11872831824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21778606080).

11872831824 is an abundant number, since it is smaller than the sum of its proper divisors (31684380336).

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

11872831824 is a wasteful number, since it uses less digits than its factorization.

11872831824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The spelling of 11872831824 in words is "eleven billion, eight hundred seventy-two million, eight hundred thirty-one thousand, eight hundred twenty-four".