5779735036416 has 800 divisors, whose sum is σ = 19876380955200. Its totient is φ = 1653677752320.

The previous prime is 5779735036357. The next prime is 5779735036441. The reversal of 5779735036416 is 6146305379775.

5779735036416 is a `hidden beast` number, since 5 + 7 + 79 + 73 + 50 + 36 + 416 = 666.

It is a super-2 number, since 2×5779735036416² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3059678800 + ... + 3059680688.

It is an arithmetic number, because the mean of its divisors is an integer number (24845476194).

Almost surely, 2^{5779735036416} 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 5779735036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938190477600).

5779735036416 is an abundant number, since it is smaller than the sum of its proper divisors (14096645918784).

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

5779735036416 is a wasteful number, since it uses less digits than its factorization.

5779735036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 5779735036416 in words is "five trillion, seven hundred seventy-nine billion, seven hundred thirty-five million, thirty-six thousand, four hundred sixteen".