5338811520 has 1024 divisors, whose sum is σ = 23970816000. Its totient is φ = 1094860800.

The previous prime is 5338811507. The next prime is 5338811549. The reversal of 5338811520 is 251188335.

5338811520 is a `hidden beast` number, since 53 + 3 + 8 + 81 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52859470 + ... + 52859570.

It is an arithmetic number, because the mean of its divisors is an integer number (23409000).

Almost surely, 2^5338811520 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 5338811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11985408000).

5338811520 is an abundant number, since it is smaller than the sum of its proper divisors (18632004480).

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

5338811520 is a wasteful number, since it uses less digits than its factorization.

5338811520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5338811520 is about 73067.1712877952. The cubic root of 5338811520 is about 1747.7589293789.

Adding to 5338811520 its reverse (251188335), we get a palindrome (5589999855).

The spelling of 5338811520 in words is "five billion, three hundred thirty-eight million, eight hundred eleven thousand, five hundred twenty".