12872361600 has 576 divisors, whose sum is σ = 53332568640. Its totient is φ = 2895298560.

The previous prime is 12872361587. The next prime is 12872361617. The reversal of 12872361600 is 616327821.

12872361600 is a `hidden beast` number, since 1 + 28 + 7 + 23 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12872361600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13506724 + ... + 13507676.

It is an arithmetic number, because the mean of its divisors is an integer number (92591265).

Almost surely, 2^12872361600 is an apocalyptic number.

12872361600 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 12872361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26666284320).

12872361600 is an abundant number, since it is smaller than the sum of its proper divisors (40460207040).

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

12872361600 is a wasteful number, since it uses less digits than its factorization.

12872361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12872361600 in words is "twelve billion, eight hundred seventy-two million, three hundred sixty-one thousand, six hundred".