9981062516880 has 720 divisors, whose sum is σ = 41808815493120. Its totient is φ = 2089290018816.

The previous prime is 9981062516851. The next prime is 9981062516923. The reversal of 9981062516880 is 886152601899.

9981062516880 is a `hidden beast` number, since 9 + 9 + 8 + 106 + 2 + 516 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108127386 + ... + 108219654.

It is an arithmetic number, because the mean of its divisors is an integer number (58067799296).

Almost surely, 2^{9981062516880} is an apocalyptic number.

9981062516880 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 9981062516880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20904407746560).

9981062516880 is an abundant number, since it is smaller than the sum of its proper divisors (31827752976240).

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

9981062516880 is a wasteful number, since it uses less digits than its factorization.

9981062516880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92448 (or 92426 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 9981062516880 in words is "nine trillion, nine hundred eighty-one billion, sixty-two million, five hundred sixteen thousand, eight hundred eighty".