12605720490 has 144 divisors (see below), whose sum is σ = 37982187360. Its totient is φ = 2876106240.

The previous prime is 12605720459. The next prime is 12605720503. The reversal of 12605720490 is 9402750621.

12605720490 is a `hidden beast` number, since 1 + 2 + 605 + 7 + 2 + 0 + 49 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 264081 + ... + 308139.

It is an arithmetic number, because the mean of its divisors is an integer number (263765190).

Almost surely, 2^12605720490 is an apocalyptic number.

12605720490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12605720490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18991093680).

12605720490 is an abundant number, since it is smaller than the sum of its proper divisors (25376466870).

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

12605720490 is a wasteful number, since it uses less digits than its factorization.

12605720490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44117 (or 44097 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12605720490 in words is "twelve billion, six hundred five million, seven hundred twenty thousand, four hundred ninety".