9888273360 has 480 divisors, whose sum is σ = 41250693120. Its totient is φ = 2071526400.

The previous prime is 9888273337. The next prime is 9888273371. The reversal of 9888273360 is 633728889.

9888273360 is a `hidden beast` number, since 9 + 8 + 8 + 8 + 273 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9888273297 and 9888273306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2966895 + ... + 2970225.

It is an arithmetic number, because the mean of its divisors is an integer number (85938944).

Almost surely, 2^9888273360 is an apocalyptic number.

9888273360 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 9888273360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20625346560).

9888273360 is an abundant number, since it is smaller than the sum of its proper divisors (31362419760).

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

9888273360 is a wasteful number, since it uses less digits than its factorization.

9888273360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 9888273360 is about 99439.7976667290. The cubic root of 9888273360 is about 2146.3810298976.

The spelling of 9888273360 in words is "nine billion, eight hundred eighty-eight million, two hundred seventy-three thousand, three hundred sixty".