5789756399616 has 448 divisors, whose sum is σ = 19656769017600. Its totient is φ = 1649791991808.

The previous prime is 5789756399549. The next prime is 5789756399653. The reversal of 5789756399616 is 6169936579875.

5789756399616 is a `hidden beast` number, since 578 + 9 + 7 + 5 + 6 + 39 + 9 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 602279226 + ... + 602288838.

Almost surely, 2^{5789756399616} is an apocalyptic number.

5789756399616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5789756399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828384508800).

5789756399616 is an abundant number, since it is smaller than the sum of its proper divisors (13867012617984).

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

5789756399616 is an equidigital number, since it uses as much as digits as its factorization.

5789756399616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10014 counting only the distinct ones).

The product of its digits is 4629441600, while the sum is 81.

The spelling of 5789756399616 in words is "five trillion, seven hundred eighty-nine billion, seven hundred fifty-six million, three hundred ninety-nine thousand, six hundred sixteen".