12811579680 has 48 divisors (see below), whose sum is σ = 40356477504. Its totient is φ = 3416421120.

The previous prime is 12811579663. The next prime is 12811579687. The reversal of 12811579680 is 8697511821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 (12811579687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13344916 + ... + 13345875.

It is an arithmetic number, because the mean of its divisors is an integer number (840759948).

Almost surely, 2^12811579680 is an apocalyptic number.

12811579680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12811579680 is an abundant number, since it is smaller than the sum of its proper divisors (27544897824).

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

12811579680 is a wasteful number, since it uses less digits than its factorization.

12811579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26690809 (or 26690801 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 12811579680 in words is "twelve billion, eight hundred eleven million, five hundred seventy-nine thousand, six hundred eighty".