5258038720 has 224 divisors, whose sum is σ = 14879116800. Its totient is φ = 1748275200.

The previous prime is 5258038699. The next prime is 5258038729. The reversal of 5258038720 is 278308525.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258038729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1938165 + ... + 1940875.

Almost surely, 2^5258038720 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 5258038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439558400).

5258038720 is an abundant number, since it is smaller than the sum of its proper divisors (9621078080).

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

5258038720 is a wasteful number, since it uses less digits than its factorization.

5258038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 5258038720 is about 72512.3349506827. The cubic root of 5258038720 is about 1738.8999432421.

The spelling of 5258038720 in words is "five billion, two hundred fifty-eight million, thirty-eight thousand, seven hundred twenty".