12739809600 has 1008 divisors, whose sum is σ = 55763542016. Its totient is φ = 2799360000.

The previous prime is 12739809559. The next prime is 12739809601. The reversal of 12739809600 is 690893721.

12739809600 is a `hidden beast` number, since 1 + 2 + 7 + 39 + 8 + 0 + 9 + 600 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12739809601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84369525 + ... + 84369675.

Almost surely, 2^12739809600 is an apocalyptic number.

12739809600 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 12739809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27881771008).

12739809600 is an abundant number, since it is smaller than the sum of its proper divisors (43023732416).

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

12739809600 is a wasteful number, since it uses less digits than its factorization.

12739809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 12739809600 in words is "twelve billion, seven hundred thirty-nine million, eight hundred nine thousand, six hundred".