12573792000 has 1512 divisors, whose sum is σ = 59596638192. Its totient is φ = 2612736000.

The previous prime is 12573791987. The next prime is 12573792017. The reversal of 12573792000 is 29737521.

12573792000 is a `hidden beast` number, since 12 + 573 + 79 + 2 + 0 + 0 + 0 = 666.

12573792000 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 (1512).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1143071995 + ... + 1143072005.

It is an arithmetic number, because the mean of its divisors is an integer number (39415766).

Almost surely, 2^12573792000 is an apocalyptic number.

12573792000 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 12573792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29798319096).

12573792000 is an abundant number, since it is smaller than the sum of its proper divisors (47022846192).

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

12573792000 is an frugal number, since it uses more digits than its factorization.

12573792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 12573792000 in words is "twelve billion, five hundred seventy-three million, seven hundred ninety-two thousand".