5935319040 has 288 divisors, whose sum is σ = 22094130240. Its totient is φ = 1356300288.

The previous prime is 5935319029. The next prime is 5935319051. The reversal of 5935319040 is 409135395.

It is an interprime number because it is at equal distance from previous prime (5935319029) and next prime (5935319051).

It is a self number, because there is not a number n which added to its sum of digits gives 5935319040.

It is an unprimeable number.

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, 1503309 + ... + 1507251.

It is an arithmetic number, because the mean of its divisors is an integer number (76715730).

Almost surely, 2^5935319040 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 5935319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047065120).

5935319040 is an abundant number, since it is smaller than the sum of its proper divisors (16158811200).

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

5935319040 is a wasteful number, since it uses less digits than its factorization.

5935319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 5935319040 is about 77041.0218000774. The cubic root of 5935319040 is about 1810.5673709438.

The spelling of 5935319040 in words is "five billion, nine hundred thirty-five million, three hundred nineteen thousand, forty".