12795333824 has 224 divisors, whose sum is σ = 32564539392. Its totient is φ = 4852224000.

The previous prime is 12795333823. The next prime is 12795333839. The reversal of 12795333824 is 42833359721.

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

It is not an unprimeable number, because it can be changed into a prime (12795333823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23650994 + ... + 23651534.

It is an arithmetic number, because the mean of its divisors is an integer number (145377408).

Almost surely, 2^12795333824 is an apocalyptic number.

12795333824 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 12795333824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282269696).

12795333824 is an abundant number, since it is smaller than the sum of its proper divisors (19769205568).

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

12795333824 is a wasteful number, since it uses less digits than its factorization.

12795333824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 47.

The spelling of 12795333824 in words is "twelve billion, seven hundred ninety-five million, three hundred thirty-three thousand, eight hundred twenty-four".