9920508116288 has 336 divisors, whose sum is σ = 26141202528768. Its totient is φ = 3689183232000.

The previous prime is 9920508116287. The next prime is 9920508116327. The reversal of 9920508116288 is 8826118050299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9920508116287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78000908 + ... + 78127988.

Almost surely, 2^{9920508116288} is an apocalyptic number.

9920508116288 is a gapful number since it is divisible by the number (98) 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 9920508116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13070601264384).

9920508116288 is an abundant number, since it is smaller than the sum of its proper divisors (16220694412480).

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

9920508116288 is a wasteful number, since it uses less digits than its factorization.

9920508116288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127222 (or 127205 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 59.

The spelling of 9920508116288 in words is "nine trillion, nine hundred twenty billion, five hundred eight million, one hundred sixteen thousand, two hundred eighty-eight".