12805756957 has 16 divisors (see below), whose sum is σ = 15503978880. Its totient is φ = 10325403648.

The previous prime is 12805756949. The next prime is 12805756969. The reversal of 12805756957 is 75965750821.

12805756957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12805756957 - 2³ = 12805756949 is a prime.

It is a super-2 number, since 2×12805756957² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12805756898 and 12805756907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805756987) 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 15 ways as a sum of consecutive naturals, for example, 214669 + ... + 267757.

It is an arithmetic number, because the mean of its divisors is an integer number (968998680).

Almost surely, 2^12805756957 is an apocalyptic number.

12805756957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12805756957 is a deficient number, since it is larger than the sum of its proper divisors (2698221923).

12805756957 is a wasteful number, since it uses less digits than its factorization.

12805756957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55140.

The product of its (nonzero) digits is 5292000, while the sum is 55.

The spelling of 12805756957 in words is "twelve billion, eight hundred five million, seven hundred fifty-six thousand, nine hundred fifty-seven".