9976086282240 has 1200 divisors, whose sum is σ = 38906175314160. Its totient is φ = 2430829854720.

The previous prime is 9976086282223. The next prime is 9976086282259. The reversal of 9976086282240 is 422826806799.

It can be written as a sum of positive squares in 8 ways, for example, as 70815596544 + 9905270685696 = 266112^2 + 3147264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9402531310 + ... + 9402532370.

Almost surely, 2^{9976086282240} is an apocalyptic number.

9976086282240 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 9976086282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19453087657080).

9976086282240 is an abundant number, since it is smaller than the sum of its proper divisors (28930089031920).

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

9976086282240 is a wasteful number, since it uses less digits than its factorization.

9976086282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 9976086282240 in words is "nine trillion, nine hundred seventy-six billion, eighty-six million, two hundred eighty-two thousand, two hundred forty".