5831239680 has 768 divisors, whose sum is σ = 24908083200. Its totient is φ = 1265172480.

The previous prime is 5831239639. The next prime is 5831239693. The reversal of 5831239680 is 869321385.

It is a happy number.

5831239680 is a `hidden beast` number, since 583 + 1 + 2 + 3 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44513215 + ... + 44513345.

It is an arithmetic number, because the mean of its divisors is an integer number (32432400).

Almost surely, 2^5831239680 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 5831239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454041600).

5831239680 is an abundant number, since it is smaller than the sum of its proper divisors (19076843520).

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

5831239680 is a wasteful number, since it uses less digits than its factorization.

5831239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5831239680 is about 76362.5541741500. The cubic root of 5831239680 is about 1799.9217743782.

The spelling of 5831239680 in words is "five billion, eight hundred thirty-one million, two hundred thirty-nine thousand, six hundred eighty".