12625478965 has 64 divisors (see below), whose sum is σ = 17448597504. Its totient is φ = 8686080000.

The previous prime is 12625478953. The next prime is 12625478981. The reversal of 12625478965 is 56987452621.

12625478965 is a nontrivial binomial coefficient, being equal to C(158906, 2).

It is not a de Polignac number, because 12625478965 - 2⁵ = 12625478933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24232905 + ... + 24233425.

It is an arithmetic number, because the mean of its divisors is an integer number (272634336).

Almost surely, 2^12625478965 is an apocalyptic number.

12625478965 is the 158905-th triangular number, the 79453-rd hexagonal number and also the 71065-th heptagonal number.

12625478965 is the 52969-th centered nonagonal number.

It is an amenable number.

12625478965 is a deficient number, since it is larger than the sum of its proper divisors (4823118539).

12625478965 is a wasteful number, since it uses less digits than its factorization.

12625478965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862.

The product of its digits is 7257600, while the sum is 55.

It can be divided in two parts, 126 and 25478965, that added together give a triangular number (25479091 = T₇₁₃₈).

The spelling of 12625478965 in words is "twelve billion, six hundred twenty-five million, four hundred seventy-eight thousand, nine hundred sixty-five".