12926325600 has 288 divisors, whose sum is σ = 46903248000. Its totient is φ = 3435747840.

The previous prime is 12926325563. The next prime is 12926325617. The reversal of 12926325600 is 652362921.

12926325600 is a `hidden beast` number, since 1 + 2 + 9 + 26 + 3 + 25 + 600 = 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8185611 + ... + 8187189.

It is an arithmetic number, because the mean of its divisors is an integer number (162858500).

Almost surely, 2^12926325600 is an apocalyptic number.

12926325600 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 12926325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451624000).

12926325600 is an abundant number, since it is smaller than the sum of its proper divisors (33976922400).

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

12926325600 is a wasteful number, since it uses less digits than its factorization.

12926325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 12926325600 its sum of digits (36), we get a square (12926325636 = 113694²).

The spelling of 12926325600 in words is "twelve billion, nine hundred twenty-six million, three hundred twenty-five thousand, six hundred".