9852420096 has 230 divisors, whose sum is σ = 30450643410. Its totient is φ = 3170893824.

The previous prime is 9852420049. The next prime is 9852420101. The reversal of 9852420096 is 6900242589.

9852420096 is a `hidden beast` number, since 98 + 52 + 420 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8493465600 + 1358954496 = 92160^2 + 36864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 339738610 + ... + 339738638.

Almost surely, 2^9852420096 is an apocalyptic number.

9852420096 is a gapful number since it is divisible by the number (96) 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 9852420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225321705).

9852420096 is an abundant number, since it is smaller than the sum of its proper divisors (20598223314).

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

9852420096 is an frugal number, since it uses more digits than its factorization.

9852420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9852420096 is about 99259.3577251032. The cubic root of 9852420096 is about 2143.7837459168.

The spelling of 9852420096 in words is "nine billion, eight hundred fifty-two million, four hundred twenty thousand, ninety-six".