5338876500 has 288 divisors, whose sum is σ = 18173151360. Its totient is φ = 1315008000.

The previous prime is 5338876471. The next prime is 5338876523. The reversal of 5338876500 is 56788335.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3504739 + ... + 3506261.

It is an arithmetic number, because the mean of its divisors is an integer number (63101220).

Almost surely, 2^5338876500 is an apocalyptic number.

5338876500 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 5338876500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086575680).

5338876500 is an abundant number, since it is smaller than the sum of its proper divisors (12834274860).

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

5338876500 is a wasteful number, since it uses less digits than its factorization.

5338876500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5338876500 is about 73067.6159457800. The cubic root of 5338876500 is about 1747.7660201527.

The spelling of 5338876500 in words is "five billion, three hundred thirty-eight million, eight hundred seventy-six thousand, five hundred".