5381500800 has 576 divisors, whose sum is σ = 19998005760. Its totient is φ = 1269964800.

The previous prime is 5381500781. The next prime is 5381500819. The reversal of 5381500800 is 80051835.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5381500781) and next prime (5381500819).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50294347 + ... + 50294453.

It is an arithmetic number, because the mean of its divisors is an integer number (34718760).

Almost surely, 2^5381500800 is an apocalyptic number.

5381500800 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 5381500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999002880).

5381500800 is an abundant number, since it is smaller than the sum of its proper divisors (14616504960).

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

5381500800 is a wasteful number, since it uses less digits than its factorization.

5381500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 5381500800 is about 73358.7131839157. The cubic root of 5381500800 is about 1752.4049438234.

The spelling of 5381500800 in words is "five billion, three hundred eighty-one million, five hundred thousand, eight hundred".