5827359244096 has 112 divisors (see below), whose sum is σ = 13189876240464. Its totient is φ = 2530543435776.

The previous prime is 5827359244051. The next prime is 5827359244097. The reversal of 5827359244096 is 6904429537285.

It can be written as a sum of positive squares in 8 ways, for example, as 57101881600 + 5770257362496 = 238960^2 + 2402136^2 .

It is a super-2 number, since 2×5827359244096² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5827359244097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45947106 + ... + 46073758.

It is an arithmetic number, because the mean of its divisors is an integer number (117766752147).

Almost surely, 2^{5827359244096} 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 5827359244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594938120232).

5827359244096 is an abundant number, since it is smaller than the sum of its proper divisors (7362516996368).

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

5827359244096 is a wasteful number, since it uses less digits than its factorization.

5827359244096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129948 (or 129938 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 5827359244096 in words is "five trillion, eight hundred twenty-seven billion, three hundred fifty-nine million, two hundred forty-four thousand, ninety-six".