5978058240 has 480 divisors, whose sum is σ = 24033461760. Its totient is φ = 1240842240.

The previous prime is 5978058227. The next prime is 5978058241. The reversal of 5978058240 is 428508795.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5978058240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5978058241) 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 47 ways as a sum of consecutive naturals, for example, 6504501 + ... + 6505419.

It is an arithmetic number, because the mean of its divisors is an integer number (50069712).

Almost surely, 2^5978058240 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 5978058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12016730880).

5978058240 is an abundant number, since it is smaller than the sum of its proper divisors (18055403520).

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

5978058240 is a wasteful number, since it uses less digits than its factorization.

5978058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 5978058240 is about 77317.9037480971. The cubic root of 5978058240 is about 1814.9028414474.

The spelling of 5978058240 in words is "five billion, nine hundred seventy-eight million, fifty-eight thousand, two hundred forty".