5259751725344 has 96 divisors (see below), whose sum is σ = 10937620512000. Its totient is φ = 2482903307520.

The previous prime is 5259751725341. The next prime is 5259751725373. The reversal of 5259751725344 is 4435271579525.

It is a happy number.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5259751725341) 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, 449584007 + ... + 449595705.

It is an arithmetic number, because the mean of its divisors is an integer number (113933547000).

Almost surely, 2^{5259751725344} 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 5259751725344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468810256000).

5259751725344 is an abundant number, since it is smaller than the sum of its proper divisors (5677868786656).

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

5259751725344 is a wasteful number, since it uses less digits than its factorization.

5259751725344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14206 (or 14198 counting only the distinct ones).

The product of its digits is 52920000, while the sum is 59.

The spelling of 5259751725344 in words is "five trillion, two hundred fifty-nine billion, seven hundred fifty-one million, seven hundred twenty-five thousand, three hundred forty-four".