9760982265216 has 1536 divisors, whose sum is σ = 36496883404800. Its totient is φ = 2435766681600.

The previous prime is 9760982265197. The next prime is 9760982265247. The reversal of 9760982265216 is 6125622890679.

9760982265216 is a `hidden beast` number, since 9 + 7 + 6 + 0 + 9 + 82 + 26 + 521 + 6 = 666.

It is a super-2 number, since 2×9760982265216² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 42624376590 + ... + 42624376818.

It is an arithmetic number, because the mean of its divisors is an integer number (23760991800).

Almost surely, 2^{9760982265216} is an apocalyptic number.

9760982265216 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 9760982265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248441702400).

9760982265216 is an abundant number, since it is smaller than the sum of its proper divisors (26735901139584).

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

9760982265216 is a wasteful number, since it uses less digits than its factorization.

9760982265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 9760982265216 in words is "nine trillion, seven hundred sixty billion, nine hundred eighty-two million, two hundred sixty-five thousand, two hundred sixteen".