9876113280 has 768 divisors, whose sum is σ = 40367471040. Its totient is φ = 2198077440.

The previous prime is 9876113239. The next prime is 9876113321. The reversal of 9876113280 is 823116789.

9876113280 is a `hidden beast` number, since 9 + 8 + 7 + 611 + 3 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9876113239) and next prime (9876113321).

It is a super-2 number, since 2×9876113280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 57087274 + ... + 57087446.

Almost surely, 2^9876113280 is an apocalyptic number.

9876113280 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 9876113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183735520).

9876113280 is an abundant number, since it is smaller than the sum of its proper divisors (30491357760).

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

9876113280 is a wasteful number, since it uses less digits than its factorization.

9876113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9876113280 is about 99378.6359334842. The cubic root of 9876113280 is about 2145.5008333837.

The spelling of 9876113280 in words is "nine billion, eight hundred seventy-six million, one hundred thirteen thousand, two hundred eighty".