12583607607090 has 72 divisors (see below), whose sum is σ = 35427695305860. Its totient is φ = 3097503407232.

The previous prime is 12583607607073. The next prime is 12583607607101. The reversal of 12583607607090 is 9070670638521.

12583607607090 is a `hidden beast` number, since 1 + 25 + 8 + 3 + 6 + 0 + 7 + 607 + 0 + 9 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5051530448721 + 7532077158369 = 2247561^2 + 2744463^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 413647105 + ... + 413677524.

Almost surely, 2^{12583607607090} is an apocalyptic number.

12583607607090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12583607607090 is an abundant number, since it is smaller than the sum of its proper divisors (22844087698770).

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

12583607607090 is a wasteful number, since it uses less digits than its factorization.

12583607607090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827324668 (or 827324652 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 12583607607090 in words is "twelve trillion, five hundred eighty-three billion, six hundred seven million, six hundred seven thousand, ninety".