12738816000 has 768 divisors, whose sum is σ = 50083488000. Its totient is φ = 3185049600.

The previous prime is 12738815983. The next prime is 12738816029. The reversal of 12738816000 is 61883721.

12738816000 is a `hidden beast` number, since 12 + 7 + 38 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 131327952 + ... + 131328048.

It is an arithmetic number, because the mean of its divisors is an integer number (65212875).

Almost surely, 2^12738816000 is an apocalyptic number.

12738816000 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 12738816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25041744000).

12738816000 is an abundant number, since it is smaller than the sum of its proper divisors (37344672000).

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

12738816000 is an equidigital number, since it uses as much as digits as its factorization.

12738816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12738816000 in words is "twelve billion, seven hundred thirty-eight million, eight hundred sixteen thousand".