9872593920 has 528 divisors, whose sum is σ = 39566512128. Its totient is φ = 2229534720.

The previous prime is 9872593909. The next prime is 9872593937. The reversal of 9872593920 is 293952789.

It is a super-2 number, since 2×9872593920² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40965000 + ... + 40965240.

It is an arithmetic number, because the mean of its divisors is an integer number (74936576).

Almost surely, 2^9872593920 is an apocalyptic number.

9872593920 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 9872593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19783256064).

9872593920 is an abundant number, since it is smaller than the sum of its proper divisors (29693918208).

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

9872593920 is a wasteful number, since it uses less digits than its factorization.

9872593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9872593920 is about 99360.9275319026. The cubic root of 9872593920 is about 2145.2459528557.

The spelling of 9872593920 in words is "nine billion, eight hundred seventy-two million, five hundred ninety-three thousand, nine hundred twenty".