9992545920 has 384 divisors, whose sum is σ = 40281546240. Its totient is φ = 2234990592.

The previous prime is 9992545919. The next prime is 9992545939. The reversal of 9992545920 is 295452999.

9992545920 is a `hidden beast` number, since 9 + 9 + 9 + 2 + 545 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1892404 + ... + 1897676.

It is an arithmetic number, because the mean of its divisors is an integer number (104899860).

Almost surely, 2^9992545920 is an apocalyptic number.

9992545920 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 9992545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20140773120).

9992545920 is an abundant number, since it is smaller than the sum of its proper divisors (30289000320).

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

9992545920 is a wasteful number, since it uses less digits than its factorization.

9992545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 9992545920 is about 99962.7226519966. The cubic root of 9992545920 is about 2153.8992460173.

The spelling of 9992545920 in words is "nine billion, nine hundred ninety-two million, five hundred forty-five thousand, nine hundred twenty".