8535921920 has 288 divisors, whose sum is σ = 22605004800. Its totient is φ = 3077775360.

The previous prime is 8535921887. The next prime is 8535921923. The reversal of 8535921920 is 291295358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8535921923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42893981 + ... + 42894179.

It is an arithmetic number, because the mean of its divisors is an integer number (78489600).

Almost surely, 2^8535921920 is an apocalyptic number.

8535921920 is a gapful number since it is divisible by the number (80) 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 8535921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302502400).

8535921920 is an abundant number, since it is smaller than the sum of its proper divisors (14069082880).

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

8535921920 is a wasteful number, since it uses less digits than its factorization.

8535921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The square root of 8535921920 is about 92390.0531442644. The cubic root of 8535921920 is about 2043.6984299070.

The spelling of 8535921920 in words is "eight billion, five hundred thirty-five million, nine hundred twenty-one thousand, nine hundred twenty".