9887082480 has 320 divisors, whose sum is σ = 37508313600. Its totient is φ = 2373857280.

The previous prime is 9887082463. The next prime is 9887082487. The reversal of 9887082480 is 842807889.

9887082480 is a `hidden beast` number, since 9 + 8 + 87 + 0 + 82 + 480 = 666.

9887082480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9887082487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2540376 + ... + 2544264.

It is an arithmetic number, because the mean of its divisors is an integer number (117213480).

Almost surely, 2^9887082480 is an apocalyptic number.

9887082480 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 9887082480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18754156800).

9887082480 is an abundant number, since it is smaller than the sum of its proper divisors (27621231120).

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

9887082480 is a wasteful number, since it uses less digits than its factorization.

9887082480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 9887082480 is about 99433.8095418254. The cubic root of 9887082480 is about 2146.2948609994.

The spelling of 9887082480 in words is "nine billion, eight hundred eighty-seven million, eighty-two thousand, four hundred eighty".