9885507840 has 288 divisors, whose sum is σ = 37779987840. Its totient is φ = 2433245184.

The previous prime is 9885507839. The next prime is 9885507851. The reversal of 9885507840 is 487055889.

9885507840 is a `hidden beast` number, since 9 + 8 + 8 + 550 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438279 + ... + 460281.

Almost surely, 2^9885507840 is an apocalyptic number.

9885507840 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 9885507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889993920).

9885507840 is an abundant number, since it is smaller than the sum of its proper divisors (27894480000).

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

9885507840 is a wasteful number, since it uses less digits than its factorization.

9885507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22046 (or 22026 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 9885507840 is about 99425.8911954024. The cubic root of 9885507840 is about 2146.1809136282.

The spelling of 9885507840 in words is "nine billion, eight hundred eighty-five million, five hundred seven thousand, eight hundred forty".