12569738679680 has 256 divisors, whose sum is σ = 38177077800960. Its totient is φ = 3849788252160.

The previous prime is 12569738679653. The next prime is 12569738679727. The reversal of 12569738679680 is 8697683796521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675634 + ... + 5286513.

It is an arithmetic number, because the mean of its divisors is an integer number (149129210160).

Almost surely, 2^{12569738679680} is an apocalyptic number.

12569738679680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12569738679680 is an abundant number, since it is smaller than the sum of its proper divisors (25607339121280).

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

12569738679680 is a wasteful number, since it uses less digits than its factorization.

12569738679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962217 (or 6962205 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 77.

The spelling of 12569738679680 in words is "twelve trillion, five hundred sixty-nine billion, seven hundred thirty-eight million, six hundred seventy-nine thousand, six hundred eighty".