9821027239920 has 480 divisors, whose sum is σ = 36680116322304. Its totient is φ = 2338546636800.

The previous prime is 9821027239879. The next prime is 9821027239921. The reversal of 9821027239920 is 299327201289.

9821027239920 is a `hidden beast` number, since 9 + 82 + 102 + 72 + 399 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9821027239921) 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 95 ways as a sum of consecutive naturals, for example, 925895257 + ... + 925905863.

Almost surely, 2^{9821027239920} is an apocalyptic number.

9821027239920 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 9821027239920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18340058161152).

9821027239920 is an abundant number, since it is smaller than the sum of its proper divisors (26859089082384).

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

9821027239920 is a wasteful number, since it uses less digits than its factorization.

9821027239920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13861 (or 13852 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 9821027239920 in words is "nine trillion, eight hundred twenty-one billion, twenty-seven million, two hundred thirty-nine thousand, nine hundred twenty".