11865828672 has 140 divisors (see below), whose sum is σ = 35992710336. Its totient is φ = 3863220480.

The previous prime is 11865828659. The next prime is 11865828673. The reversal of 11865828672 is 27682856811.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11865828673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196297 + ... + 249527.

Almost surely, 2^11865828672 is an apocalyptic number.

11865828672 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 11865828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996355168).

11865828672 is an abundant number, since it is smaller than the sum of its proper divisors (24126881664).

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

11865828672 is an equidigital number, since it uses as much as digits as its factorization.

11865828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53298 (or 53279 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 11865828672 in words is "eleven billion, eight hundred sixty-five million, eight hundred twenty-eight thousand, six hundred seventy-two".