12738772800 has 420 divisors, whose sum is σ = 50433080236. Its totient is φ = 3135283200.

The previous prime is 12738772789. The next prime is 12738772811. The reversal of 12738772800 is 827783721.

It is a happy number.

12738772800 is a `hidden beast` number, since 127 + 387 + 72 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12738772789) and next prime (12738772811).

It can be written as a sum of positive squares in 6 ways, for example, as 2665037376 + 10073735424 = 51624^2 + 100368^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1681020 + ... + 1688580.

Almost surely, 2^12738772800 is an apocalyptic number.

12738772800 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 12738772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25216540118).

12738772800 is an abundant number, since it is smaller than the sum of its proper divisors (37694307436).

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

12738772800 is a wasteful number, since it uses less digits than its factorization.

12738772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 12738772800 in words is "twelve billion, seven hundred thirty-eight million, seven hundred seventy-two thousand, eight hundred".