9920061968256 has 512 divisors, whose sum is σ = 33143272243200. Its totient is φ = 2893812480000.

The previous prime is 9920061968251. The next prime is 9920061968261. The reversal of 9920061968256 is 6528691600299.

9920061968256 is a `hidden beast` number, since 9 + 9 + 2 + 0 + 0 + 619 + 6 + 8 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (9920061968251) and next prime (9920061968261).

It is a junction number, because it is equal to n+sod(n) for n = 9920061968193 and 9920061968202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9920061968251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225070701 + ... + 225114771.

It is an arithmetic number, because the mean of its divisors is an integer number (64732953600).

Almost surely, 2^{9920061968256} is an apocalyptic number.

9920061968256 is a gapful number since it is divisible by the number (96) 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 9920061968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571636121600).

9920061968256 is an abundant number, since it is smaller than the sum of its proper divisors (23223210274944).

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

9920061968256 is a wasteful number, since it uses less digits than its factorization.

9920061968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44327 (or 44309 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 9920061968256 in words is "nine trillion, nine hundred twenty billion, sixty-one million, nine hundred sixty-eight thousand, two hundred fifty-six".