12760620400 has 120 divisors (see below), whose sum is σ = 35204889600. Its totient is φ = 4395974400.

The previous prime is 12760620377. The next prime is 12760620401. The reversal of 12760620400 is 402606721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12760620401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7281 + ... + 159919.

It is an arithmetic number, because the mean of its divisors is an integer number (293374080).

Almost surely, 2^12760620400 is an apocalyptic number.

12760620400 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 12760620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602444800).

12760620400 is an abundant number, since it is smaller than the sum of its proper divisors (22444269200).

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

12760620400 is a wasteful number, since it uses less digits than its factorization.

12760620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152687 (or 152676 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 12760620400 in words is "twelve billion, seven hundred sixty million, six hundred twenty thousand, four hundred".