12746539200 has 336 divisors, whose sum is σ = 43177236480. Its totient is φ = 3290112000.

The previous prime is 12746539129. The next prime is 12746539213. The reversal of 12746539200 is 293564721.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47035065 + ... + 47035335.

It is an arithmetic number, because the mean of its divisors is an integer number (128503680).

Almost surely, 2^12746539200 is an apocalyptic number.

12746539200 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 12746539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21588618240).

12746539200 is an abundant number, since it is smaller than the sum of its proper divisors (30430697280).

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

12746539200 is a wasteful number, since it uses less digits than its factorization.

12746539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 12746539200 in words is "twelve billion, seven hundred forty-six million, five hundred thirty-nine thousand, two hundred".