5779029144 has 128 divisors (see below), whose sum is σ = 16725772800. Its totient is φ = 1629849600.

The previous prime is 5779029133. The next prime is 5779029229. The reversal of 5779029144 is 4419209775.

It is a junction number, because it is equal to n+sod(n) for n = 5779029093 and 5779029102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7342719 + ... + 7343505.

It is an arithmetic number, because the mean of its divisors is an integer number (130670100).

Almost surely, 2^5779029144 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 5779029144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8362886400).

5779029144 is an abundant number, since it is smaller than the sum of its proper divisors (10946743656).

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

5779029144 is a wasteful number, since it uses less digits than its factorization.

5779029144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 5779029144 is about 76019.9259668148. The cubic root of 5779029144 is about 1794.5337402630.

The spelling of 5779029144 in words is "five billion, seven hundred seventy-nine million, twenty-nine thousand, one hundred forty-four".