12769488960 has 112 divisors (see below), whose sum is σ = 40661027136. Its totient is φ = 3395295232.

The previous prime is 12769488923. The next prime is 12769488967. The reversal of 12769488960 is 6988496721.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12769488894 and 12769488903.

It is not an unprimeable number, because it can be changed into a prime (12769488967) 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, 313954 + ... + 352286.

Almost surely, 2^12769488960 is an apocalyptic number.

12769488960 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 12769488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20330513568).

12769488960 is an abundant number, since it is smaller than the sum of its proper divisors (27891538176).

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

12769488960 is a wasteful number, since it uses less digits than its factorization.

12769488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38700 (or 38690 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 12769488960 in words is "twelve billion, seven hundred sixty-nine million, four hundred eighty-eight thousand, nine hundred sixty".