12935138400 has 288 divisors, whose sum is σ = 46947307680. Its totient is φ = 3437199360.

The previous prime is 12935138357. The next prime is 12935138407. The reversal of 12935138400 is 483153921.

12935138400 is a `hidden beast` number, since 12 + 93 + 513 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12935138407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7278312 + ... + 7280088.

It is an arithmetic number, because the mean of its divisors is an integer number (163011485).

Almost surely, 2^12935138400 is an apocalyptic number.

12935138400 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 12935138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23473653840).

12935138400 is an abundant number, since it is smaller than the sum of its proper divisors (34012169280).

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

12935138400 is a wasteful number, since it uses less digits than its factorization.

12935138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12935138400 in words is "twelve billion, nine hundred thirty-five million, one hundred thirty-eight thousand, four hundred".