12806157749280 has 768 divisors, whose sum is σ = 49917535911936. Its totient is φ = 2695401308160.

The previous prime is 12806157749261. The next prime is 12806157749299. The reversal of 12806157749280 is 8294775160821.

12806157749280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12806157749261) and next prime (12806157749299).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 462352392 + ... + 462380088.

It is an arithmetic number, because the mean of its divisors is an integer number (64996791552).

Almost surely, 2^{12806157749280} is an apocalyptic number.

12806157749280 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 12806157749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24958767955968).

12806157749280 is an abundant number, since it is smaller than the sum of its proper divisors (37111378162656).

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

12806157749280 is a wasteful number, since it uses less digits than its factorization.

12806157749280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27969 (or 27961 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 12806157749280 in words is "twelve trillion, eight hundred six billion, one hundred fifty-seven million, seven hundred forty-nine thousand, two hundred eighty".