12850195680 has 576 divisors, whose sum is σ = 53552378880. Its totient is φ = 2742018048.

The previous prime is 12850195649. The next prime is 12850195697. The reversal of 12850195680 is 8659105821.

It is a happy number.

12850195680 is a `hidden beast` number, since 1 + 2 + 85 + 0 + 1 + 9 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9968476 + ... + 9969764.

It is an arithmetic number, because the mean of its divisors is an integer number (92972880).

Almost surely, 2^12850195680 is an apocalyptic number.

12850195680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12850195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26776189440).

12850195680 is an abundant number, since it is smaller than the sum of its proper divisors (40702183200).

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

12850195680 is a wasteful number, since it uses less digits than its factorization.

12850195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 12850195680 in words is "twelve billion, eight hundred fifty million, one hundred ninety-five thousand, six hundred eighty".