12587640309504 has 216 divisors, whose sum is σ = 40532657659312. Its totient is φ = 3873119846400.

The previous prime is 12587640309469. The next prime is 12587640309523. The reversal of 12587640309504 is 40590304678521.

It is a happy number.

12587640309504 is a `hidden beast` number, since 1 + 2 + 587 + 6 + 4 + 0 + 3 + 0 + 9 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×12587640309504² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6973897 + ... + 8591304.

It is a 1-persistent number, because it is pandigital, but 2⋅12587640309504 = 25175280619008 is not.

Almost surely, 2^{12587640309504} is an apocalyptic number.

It is an amenable number.

12587640309504 is an abundant number, since it is smaller than the sum of its proper divisors (27945017349808).

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

12587640309504 is an equidigital number, since it uses as much as digits as its factorization.

12587640309504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15565245 (or 15565219 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12587640309504 in words is "twelve trillion, five hundred eighty-seven billion, six hundred forty million, three hundred nine thousand, five hundred four".