12850368000 has 640 divisors, whose sum is σ = 47064416256. Its totient is φ = 3096576000.

The previous prime is 12850367977. The next prime is 12850368071. The reversal of 12850368000 is 86305821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101183937 + ... + 101184063.

Almost surely, 2^12850368000 is an apocalyptic number.

12850368000 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 12850368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23532208128).

12850368000 is an abundant number, since it is smaller than the sum of its proper divisors (34214048256).

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

12850368000 is a wasteful number, since it uses less digits than its factorization.

12850368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 12850368000 in words is "twelve billion, eight hundred fifty million, three hundred sixty-eight thousand".