5826126816 has 144 divisors (see below), whose sum is σ = 16770499200. Its totient is φ = 1918485504.

The previous prime is 5826126809. The next prime is 5826126821. The reversal of 5826126816 is 6186216285.

5826126816 is a `hidden beast` number, since 582 + 6 + 1 + 2 + 68 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5826126816² = 67887507352228595712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12162865 + ... + 12163343.

It is an arithmetic number, because the mean of its divisors is an integer number (116461800).

Almost surely, 2^5826126816 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 5826126816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385249600).

5826126816 is an abundant number, since it is smaller than the sum of its proper divisors (10944372384).

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

5826126816 is a wasteful number, since it uses less digits than its factorization.

5826126816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 5826126816 is about 76329.0692724600. The cubic root of 5826126816 is about 1799.3955600147.

The spelling of 5826126816 in words is "five billion, eight hundred twenty-six million, one hundred twenty-six thousand, eight hundred sixteen".