5835938560 has 72 divisors (see below), whose sum is σ = 14156089920. Its totient is φ = 2304786432.

The previous prime is 5835938533. The next prime is 5835938609. The reversal of 5835938560 is 658395385.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5835938498 and 5835938507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72264 + ... + 129976.

It is an arithmetic number, because the mean of its divisors is an integer number (196612360).

Almost surely, 2^5835938560 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 5835938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078044960).

5835938560 is an abundant number, since it is smaller than the sum of its proper divisors (8320151360).

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

5835938560 is an equidigital number, since it uses as much as digits as its factorization.

5835938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57813 (or 57799 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 52.

The square root of 5835938560 is about 76393.3148907678. The cubic root of 5835938560 is about 1800.4051104645.

The spelling of 5835938560 in words is "five billion, eight hundred thirty-five million, nine hundred thirty-eight thousand, five hundred sixty".