12576262032 has 240 divisors, whose sum is σ = 39570086400. Its totient is φ = 3710085120.

The previous prime is 12576262009. The next prime is 12576262037. The reversal of 12576262032 is 23026267521.

12576262032 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 626 + 20 + 3 + 2 = 666.

12576262032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12576262037) 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 47 ways as a sum of consecutive naturals, for example, 2457108 + ... + 2462220.

It is an arithmetic number, because the mean of its divisors is an integer number (164875360).

Almost surely, 2^12576262032 is an apocalyptic number.

12576262032 is a gapful number since it is divisible by the number (12) 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 12576262032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785043200).

12576262032 is an abundant number, since it is smaller than the sum of its proper divisors (26993824368).

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

12576262032 is a wasteful number, since it uses less digits than its factorization.

12576262032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12576262032 in words is "twelve billion, five hundred seventy-six million, two hundred sixty-two thousand, thirty-two".