12576538800 has 720 divisors, whose sum is σ = 54574221312. Its totient is φ = 2615500800.

The previous prime is 12576538789. The next prime is 12576538801. The reversal of 12576538800 is 883567521.

12576538800 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 (720).

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

It is not an unprimeable number, because it can be changed into a prime (12576538801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 13279927 + ... + 13280873.

Almost surely, 2^12576538800 is an apocalyptic number.

12576538800 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 12576538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27287110656).

12576538800 is an abundant number, since it is smaller than the sum of its proper divisors (41997682512).

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

12576538800 is a wasteful number, since it uses less digits than its factorization.

12576538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12576538800 in words is "twelve billion, five hundred seventy-six million, five hundred thirty-eight thousand, eight hundred".