9825163920 has 800 divisors, whose sum is σ = 41923816704. Its totient is φ = 2098483200.

The previous prime is 9825163883. The next prime is 9825163949. The reversal of 9825163920 is 293615289.

9825163920 is a `hidden beast` number, since 9 + 8 + 2 + 5 + 1 + 639 + 2 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21312490 + ... + 21312950.

Almost surely, 2^9825163920 is an apocalyptic number.

9825163920 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 9825163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961908352).

9825163920 is an abundant number, since it is smaller than the sum of its proper divisors (32098652784).

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

9825163920 is a wasteful number, since it uses less digits than its factorization.

9825163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9825163920 is about 99121.9648715662. The cubic root of 9825163920 is about 2141.8050336869.

The spelling of 9825163920 in words is "nine billion, eight hundred twenty-five million, one hundred sixty-three thousand, nine hundred twenty".