12802753152 has 192 divisors, whose sum is σ = 43132340160. Its totient is φ = 3568619520.

The previous prime is 12802753129. The next prime is 12802753207. The reversal of 12802753152 is 25135720821.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311263 + ... + 349985.

It is an arithmetic number, because the mean of its divisors is an integer number (224647605).

Almost surely, 2^12802753152 is an apocalyptic number.

12802753152 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 12802753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21566170080).

12802753152 is an abundant number, since it is smaller than the sum of its proper divisors (30329587008).

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

12802753152 is a wasteful number, since it uses less digits than its factorization.

12802753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38791 (or 38776 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12802753152 in words is "twelve billion, eight hundred two million, seven hundred fifty-three thousand, one hundred fifty-two".