12538009764 has 96 divisors (see below), whose sum is σ = 37608480000. Its totient is φ = 3582271008.

The previous prime is 12538009739. The next prime is 12538009793. The reversal of 12538009764 is 46790083521.

12538009764 is a `hidden beast` number, since 125 + 380 + 0 + 97 + 64 = 666.

12538009764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 41139 + ... + 163610.

It is an arithmetic number, because the mean of its divisors is an integer number (391755000).

It is a 1-persistent number, because it is pandigital, but 2⋅12538009764 = 25076019528 is not.

Almost surely, 2^12538009764 is an apocalyptic number.

12538009764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12538009764 is an abundant number, since it is smaller than the sum of its proper divisors (25070470236).

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

12538009764 is an equidigital number, since it uses as much as digits as its factorization.

12538009764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204781 (or 204761 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12538009764 in words is "twelve billion, five hundred thirty-eight million, nine thousand, seven hundred sixty-four".