12565390950 has 432 divisors, whose sum is σ = 41649320880. Its totient is φ = 2777241600.

The previous prime is 12565390949. The next prime is 12565390979. The reversal of 12565390950 is 5909356521.

12565390950 is a `hidden beast` number, since 1 + 2 + 565 + 39 + 0 + 9 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12565390896 and 12565390905.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 111198094 + ... + 111198206.

It is an arithmetic number, because the mean of its divisors is an integer number (96410465).

Almost surely, 2^12565390950 is an apocalyptic number.

12565390950 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 12565390950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20824660440).

12565390950 is an abundant number, since it is smaller than the sum of its proper divisors (29083929930).

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

12565390950 is a wasteful number, since it uses less digits than its factorization.

12565390950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 12565390950 in words is "twelve billion, five hundred sixty-five million, three hundred ninety thousand, nine hundred fifty".