12739608000 has 1008 divisors, whose sum is σ = 55669184064. Its totient is φ = 2767564800.

The previous prime is 12739607987. The next prime is 12739608031. The reversal of 12739608000 is 80693721.

12739608000 is a `hidden beast` number, since 12 + 7 + 39 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×12739608000² (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 143 ways as a sum of consecutive naturals, for example, 81143922 + ... + 81144078.

Almost surely, 2^12739608000 is an apocalyptic number.

12739608000 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 12739608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27834592032).

12739608000 is an abundant number, since it is smaller than the sum of its proper divisors (42929576064).

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

12739608000 is a wasteful number, since it uses less digits than its factorization.

12739608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12739608000 in words is "twelve billion, seven hundred thirty-nine million, six hundred eight thousand".