9975286880 has 192 divisors, whose sum is σ = 26500981248. Its totient is φ = 3523952640.

The previous prime is 9975286847. The next prime is 9975286883. The reversal of 9975286880 is 886825799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975286883) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4518737 + ... + 4520943.

It is an arithmetic number, because the mean of its divisors is an integer number (138025944).

Almost surely, 2^9975286880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250490624).

9975286880 is an abundant number, since it is smaller than the sum of its proper divisors (16525694368).

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

9975286880 is a wasteful number, since it uses less digits than its factorization.

9975286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 62.

The square root of 9975286880 is about 99876.3579632337. The cubic root of 9975286880 is about 2152.6584659251.

The spelling of 9975286880 in words is "nine billion, nine hundred seventy-five million, two hundred eighty-six thousand, eight hundred eighty".