12804829920 has 240 divisors, whose sum is σ = 45281351808. Its totient is φ = 3407754240.

The previous prime is 12804829903. The next prime is 12804829931. The reversal of 12804829920 is 2992840821.

It is a happy number.

12804829920 is a `hidden beast` number, since 1 + 2 + 80 + 482 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12842862 + ... + 12843858.

Almost surely, 2^12804829920 is an apocalyptic number.

12804829920 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 12804829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22640675904).

12804829920 is an abundant number, since it is smaller than the sum of its proper divisors (32476521888).

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

12804829920 is an equidigital number, since it uses as much as digits as its factorization.

12804829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

It can be divided in two parts, 12804 and 829920, that added together give a square (842724 = 918²).

The spelling of 12804829920 in words is "twelve billion, eight hundred four million, eight hundred twenty-nine thousand, nine hundred twenty".