5735985920 has 144 divisors (see below), whose sum is σ = 15880898880. Its totient is φ = 1944256512.

The previous prime is 5735985917. The next prime is 5735985923. The reversal of 5735985920 is 295895375.

It is an interprime number because it is at equal distance from previous prime (5735985917) and next prime (5735985923).

It is not an unprimeable number, because it can be changed into a prime (5735985923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 793844 + ... + 801036.

It is an arithmetic number, because the mean of its divisors is an integer number (110284020).

Almost surely, 2^5735985920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5735985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940449440).

5735985920 is an abundant number, since it is smaller than the sum of its proper divisors (10144912960).

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

5735985920 is an equidigital number, since it uses as much as digits as its factorization.

5735985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 53.

The square root of 5735985920 is about 75736.2919609879. The cubic root of 5735985920 is about 1790.0672987400.

The spelling of 5735985920 in words is "five billion, seven hundred thirty-five million, nine hundred eighty-five thousand, nine hundred twenty".