9882573120 has 168 divisors, whose sum is σ = 38848003584. Its totient is φ = 2258869248.

The previous prime is 9882573091. The next prime is 9882573121. The reversal of 9882573120 is 213752889.

It is a happy number.

9882573120 is a `hidden beast` number, since 9 + 88 + 257 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9882573121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 224944 + ... + 265263.

Almost surely, 2^9882573120 is an apocalyptic number.

9882573120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9882573120 is an abundant number, since it is smaller than the sum of its proper divisors (28965430464).

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

9882573120 is a wasteful number, since it uses less digits than its factorization.

9882573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490237 (or 490224 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9882573120 is about 99411.1317710446. The cubic root of 9882573120 is about 2145.9685130269.

The spelling of 9882573120 in words is "nine billion, eight hundred eighty-two million, five hundred seventy-three thousand, one hundred twenty".