9887834880 has 864 divisors, whose sum is σ = 43528762368. Its totient is φ = 2012774400.

The previous prime is 9887834837. The next prime is 9887834923. The reversal of 9887834880 is 884387889.

9887834880 is a `hidden beast` number, since 9 + 88 + 78 + 3 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9887834837) and next prime (9887834923).

It is a super-2 number, since 2×9887834880² (a number of 21 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 62979762 + ... + 62979918.

It is an arithmetic number, because the mean of its divisors is an integer number (50380512).

Almost surely, 2^9887834880 is an apocalyptic number.

9887834880 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 9887834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764381184).

9887834880 is an abundant number, since it is smaller than the sum of its proper divisors (33640927488).

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

9887834880 is a wasteful number, since it uses less digits than its factorization.

9887834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The square root of 9887834880 is about 99437.5928912200. The cubic root of 9887834880 is about 2146.3493034599.

The spelling of 9887834880 in words is "nine billion, eight hundred eighty-seven million, eight hundred thirty-four thousand, eight hundred eighty".