12786145950 has 96 divisors (see below), whose sum is σ = 33926221440. Its totient is φ = 3177187200.

The previous prime is 12786145949. The next prime is 12786145991. The reversal of 12786145950 is 5954168721.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12786145950.

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 47 ways as a sum of consecutive naturals, for example, 137077 + ... + 210623.

It is an arithmetic number, because the mean of its divisors is an integer number (353398140).

Almost surely, 2^12786145950 is an apocalyptic number.

12786145950 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 12786145950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963110720).

12786145950 is an abundant number, since it is smaller than the sum of its proper divisors (21140075490).

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

12786145950 is a wasteful number, since it uses less digits than its factorization.

12786145950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73642 (or 73637 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 12786145950 in words is "twelve billion, seven hundred eighty-six million, one hundred forty-five thousand, nine hundred fifty".