9806939226000 has 1920 divisors, whose sum is σ = 43596022818816. Its totient is φ = 2001892147200.

The previous prime is 9806939225971. The next prime is 9806939226001. The reversal of 9806939226000 is 6229396089.

9806939226000 is a `hidden beast` number, since 9 + 8 + 0 + 6 + 9 + 3 + 9 + 22 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9806939226001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6749441274 + ... + 6749442726.

Almost surely, 2^{9806939226000} is an apocalyptic number.

9806939226000 is a gapful number since it is divisible by the number (90) 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 9806939226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21798011409408).

9806939226000 is an abundant number, since it is smaller than the sum of its proper divisors (33789083592816).

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

9806939226000 is a wasteful number, since it uses less digits than its factorization.

9806939226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 9806939226000 in words is "nine trillion, eight hundred six billion, nine hundred thirty-nine million, two hundred twenty-six thousand".