5779334565888 has 624 divisors, whose sum is σ = 17197427810880. Its totient is φ = 1724683124736.

The previous prime is 5779334565859. The next prime is 5779334565931. The reversal of 5779334565888 is 8885654339775.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10157002468 + ... + 10157003036.

Almost surely, 2^{5779334565888} 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 5779334565888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598713905440).

5779334565888 is an abundant number, since it is smaller than the sum of its proper divisors (11418093244992).

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

5779334565888 is a wasteful number, since it uses less digits than its factorization.

5779334565888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 727 counting only the distinct ones).

The product of its digits is 6096384000, while the sum is 78.

It can be divided in two parts, 57793 and 34565888, that added together give a triangular number (34623681 = T₈₃₂₁).

The spelling of 5779334565888 in words is "five trillion, seven hundred seventy-nine billion, three hundred thirty-four million, five hundred sixty-five thousand, eight hundred eighty-eight".