12892760320 has 144 divisors (see below), whose sum is σ = 33882488640. Its totient is φ = 4661452800.

The previous prime is 12892760311. The next prime is 12892760323. The reversal of 12892760320 is 2306729821.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12892760323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2545951 + ... + 2551009.

It is an arithmetic number, because the mean of its divisors is an integer number (235295060).

Almost surely, 2^12892760320 is an apocalyptic number.

12892760320 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 12892760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16941244320).

12892760320 is an abundant number, since it is smaller than the sum of its proper divisors (20989728320).

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

12892760320 is a wasteful number, since it uses less digits than its factorization.

12892760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 12892760320 in words is "twelve billion, eight hundred ninety-two million, seven hundred sixty thousand, three hundred twenty".