9920263017600 has 768 divisors, whose sum is σ = 39211709040000. Its totient is φ = 2434817802240.

The previous prime is 9920263017593. The next prime is 9920263017631. The reversal of 9920263017600 is 67103620299.

It is a happy number.

9920263017600 is a `hidden beast` number, since 9 + 9 + 2 + 0 + 2 + 6 + 30 + 1 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 391984147 + ... + 392009453.

Almost surely, 2^{9920263017600} is an apocalyptic number.

9920263017600 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 9920263017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605854520000).

9920263017600 is an abundant number, since it is smaller than the sum of its proper divisors (29291446022400).

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

9920263017600 is a wasteful number, since it uses less digits than its factorization.

9920263017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25702 (or 25679 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

Adding to 9920263017600 its reverse (67103620299), we get a palindrome (9987366637899).

The spelling of 9920263017600 in words is "nine trillion, nine hundred twenty billion, two hundred sixty-three million, seventeen thousand, six hundred".