9885395520 has 1344 divisors, whose sum is σ = 47716171776. Its totient is φ = 1881169920.

The previous prime is 9885395491. The next prime is 9885395549. The reversal of 9885395520 is 255935889.

9885395520 is a `hidden beast` number, since 9 + 8 + 85 + 3 + 9 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9885395491) and next prime (9885395549).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77837697 + ... + 77837823.

It is an arithmetic number, because the mean of its divisors is an integer number (35503104).

Almost surely, 2^9885395520 is an apocalyptic number.

9885395520 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 9885395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23858085888).

9885395520 is an abundant number, since it is smaller than the sum of its proper divisors (37830776256).

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

9885395520 is a wasteful number, since it uses less digits than its factorization.

9885395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The square root of 9885395520 is about 99425.3263509856. The cubic root of 9885395520 is about 2146.1727852327.

The spelling of 9885395520 in words is "nine billion, eight hundred eighty-five million, three hundred ninety-five thousand, five hundred twenty".