12887135289600 has 2592 divisors, whose sum is σ = 54679340298240. Its totient is φ = 2639609856000.

The previous prime is 12887135289551. The next prime is 12887135289629. The reversal of 12887135289600 is 698253178821.

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 287 ways as a sum of consecutive naturals, for example, 21023058894 + ... + 21023059506.

Almost surely, 2^{12887135289600} is an apocalyptic number.

12887135289600 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 12887135289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27339670149120).

12887135289600 is an abundant number, since it is smaller than the sum of its proper divisors (41792205008640).

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

12887135289600 is a wasteful number, since it uses less digits than its factorization.

12887135289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 12887135289600 in words is "twelve trillion, eight hundred eighty-seven billion, one hundred thirty-five million, two hundred eighty-nine thousand, six hundred".