12860973888400 has 135 divisors (see below), whose sum is σ = 33964886409139. Its totient is φ = 4676430880000.

The previous prime is 12860973888383. The next prime is 12860973888419. The reversal of 12860973888400 is 488837906821.

The square root of 12860973888400 is 3586220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 687685415824 + 12173288472576 = 829268^2 + 3489024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 788960250 + ... + 788976550.

Almost surely, 2^{12860973888400} is an apocalyptic number.

12860973888400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12860973888400 is the 3586220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12860973888400

12860973888400 is an abundant number, since it is smaller than the sum of its proper divisors (21103912520739).

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

12860973888400 is an frugal number, since it uses more digits than its factorization.

12860973888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32642 (or 16319 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 64.

Multiplying 12860973888400 by its sum of digits (64), we get a square (823102328857600 = 28689760²).

The spelling of 12860973888400 in words is "twelve trillion, eight hundred sixty billion, nine hundred seventy-three million, eight hundred eighty-eight thousand, four hundred".