5086281600 has 576 divisors, whose sum is σ = 19520417280. Its totient is φ = 1306368000.

The previous prime is 5086281521. The next prime is 5086281619. The reversal of 5086281600 is 61826805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24105495 + ... + 24105705.

Almost surely, 2^5086281600 is an apocalyptic number.

5086281600 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 5086281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9760208640).

5086281600 is an abundant number, since it is smaller than the sum of its proper divisors (14434135680).

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

5086281600 is a wasteful number, since it uses less digits than its factorization.

5086281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5086281600 is about 71318.1715974267. The cubic root of 5086281600 is about 1719.7558694429.

The spelling of 5086281600 in words is "five billion, eighty-six million, two hundred eighty-one thousand, six hundred".