5258111347600 has 120 divisors (see below), whose sum is σ = 13163612285160. Its totient is φ = 2015895490560.

The previous prime is 5258111347583. The next prime is 5258111347607. The reversal of 5258111347600 is 67431118525.

It can be written as a sum of positive squares in 12 ways, for example, as 602821805056 + 4655289542544 = 776416^2 + 2157612^2 .

It is not an unprimeable number, because it can be changed into a prime (5258111347607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65127 + ... + 3243526.

It is an arithmetic number, because the mean of its divisors is an integer number (109696769043).

Almost surely, 2^{5258111347600} is an apocalyptic number.

5258111347600 is a gapful number since it is divisible by the number (50) 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 5258111347600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581806142580).

5258111347600 is an abundant number, since it is smaller than the sum of its proper divisors (7905500937560).

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

5258111347600 is a wasteful number, since it uses less digits than its factorization.

5258111347600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308837 (or 3308826 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 5258111347600 in words is "five trillion, two hundred fifty-eight billion, one hundred eleven million, three hundred forty-seven thousand, six hundred".