12745377600 has 168 divisors, whose sum is σ = 41878971360. Its totient is φ = 3393607680.

The previous prime is 12745377599. The next prime is 12745377713. The reversal of 12745377600 is 677354721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3977599 + ... + 3980801.

Almost surely, 2^12745377600 is an apocalyptic number.

12745377600 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 12745377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20939485680).

12745377600 is an abundant number, since it is smaller than the sum of its proper divisors (29133593760).

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

12745377600 is a wasteful number, since it uses less digits than its factorization.

12745377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 12745377600 in words is "twelve billion, seven hundred forty-five million, three hundred seventy-seven thousand, six hundred".