12923325478800 has 2160 divisors, whose sum is σ = 56566352785600. Its totient is φ = 2791895040000.

The previous prime is 12923325478771. The next prime is 12923325478837. The reversal of 12923325478800 is 887452332921.

12923325478800 is a `hidden beast` number, since 1 + 2 + 92 + 3 + 3 + 2 + 5 + 478 + 80 + 0 = 666.

12923325478800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7175637900 + ... + 7175639700.

Almost surely, 2^{12923325478800} is an apocalyptic number.

12923325478800 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 12923325478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283176392800).

12923325478800 is an abundant number, since it is smaller than the sum of its proper divisors (43643027306800).

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

12923325478800 is a wasteful number, since it uses less digits than its factorization.

12923325478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12923325478800 in words is "twelve trillion, nine hundred twenty-three billion, three hundred twenty-five million, four hundred seventy-eight thousand, eight hundred".