12677288400 has 480 divisors, whose sum is σ = 52432160000. Its totient is φ = 2849126400.

The previous prime is 12677288389. The next prime is 12677288473. The reversal of 12677288400 is 488277621.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4610226 + ... + 4612974.

Almost surely, 2^12677288400 is an apocalyptic number.

12677288400 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 12677288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26216080000).

12677288400 is an abundant number, since it is smaller than the sum of its proper divisors (39754871600).

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

12677288400 is a wasteful number, since it uses less digits than its factorization.

12677288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12677288400 in words is "twelve billion, six hundred seventy-seven million, two hundred eighty-eight thousand, four hundred".