5876131480200 has 288 divisors, whose sum is σ = 20617517269440. Its totient is φ = 1496982643200.

The previous prime is 5876131480199. The next prime is 5876131480267. The reversal of 5876131480200 is 20841316785.

5876131480200 is a `hidden beast` number, since 5 + 8 + 7 + 613 + 1 + 4 + 8 + 0 + 20 + 0 = 666.

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

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, 33487894 + ... + 33662906.

It is an arithmetic number, because the mean of its divisors is an integer number (71588601630).

Almost surely, 2^{5876131480200} is an apocalyptic number.

5876131480200 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 5876131480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10308758634720).

5876131480200 is an abundant number, since it is smaller than the sum of its proper divisors (14741385789240).

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

5876131480200 is a wasteful number, since it uses less digits than its factorization.

5876131480200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175869 (or 175857 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 5876131480200 its reverse (20841316785), we get a palindrome (5896972796985).

The spelling of 5876131480200 in words is "five trillion, eight hundred seventy-six billion, one hundred thirty-one million, four hundred eighty thousand, two hundred".