12582769400 has 48 divisors (see below), whose sum is σ = 30263743800. Its totient is φ = 4859550080.

The previous prime is 12582769387. The next prime is 12582769411. The reversal of 12582769400 is 496728521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078922 + ... + 1090521.

Almost surely, 2^12582769400 is an apocalyptic number.

12582769400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12582769400 is an abundant number, since it is smaller than the sum of its proper divisors (17680974400).

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

12582769400 is a wasteful number, since it uses less digits than its factorization.

12582769400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169488 (or 2169479 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 12582769400 in words is "twelve billion, five hundred eighty-two million, seven hundred sixty-nine thousand, four hundred".