9999982080 has 720 divisors, whose sum is σ = 40497689232. Its totient is φ = 2270822400.

The previous prime is 9999982051. The next prime is 9999982081. The reversal of 9999982080 is 802899999.

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

It is a super-2 number, since 2×9999982080² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9999981999 and 9999982017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999982081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47393175 + ... + 47393385.

Almost surely, 2^9999982080 is an apocalyptic number.

9999982080 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 9999982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248844616).

9999982080 is an abundant number, since it is smaller than the sum of its proper divisors (30497707152).

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

9999982080 is a wasteful number, since it uses less digits than its factorization.

9999982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The square root of 9999982080 is about 99999.9103999599. The cubic root of 9999982080 is about 2154.4334031155.

The spelling of 9999982080 in words is "nine billion, nine hundred ninety-nine million, nine hundred eighty-two thousand, eighty".