12880947360 has 96 divisors (see below), whose sum is σ = 40631008320. Its totient is φ = 3430176768.

The previous prime is 12880947271. The next prime is 12880947367. The reversal of 12880947360 is 6374908821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12880947367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336564 + ... + 372876.

It is an arithmetic number, because the mean of its divisors is an integer number (423239670).

Almost surely, 2^12880947360 is an apocalyptic number.

12880947360 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 12880947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20315504160).

12880947360 is an abundant number, since it is smaller than the sum of its proper divisors (27750060960).

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

12880947360 is a wasteful number, since it uses less digits than its factorization.

12880947360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37070 (or 37062 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 12880947360 in words is "twelve billion, eight hundred eighty million, nine hundred forty-seven thousand, three hundred sixty".