5436587800 has 288 divisors, whose sum is σ = 15783275520. Its totient is φ = 1703980800.

The previous prime is 5436587797. The next prime is 5436587801. The reversal of 5436587800 is 87856345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436587801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15667227 + ... + 15667573.

It is an arithmetic number, because the mean of its divisors is an integer number (54803040).

Almost surely, 2^5436587800 is an apocalyptic number.

5436587800 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 5436587800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891637760).

5436587800 is an abundant number, since it is smaller than the sum of its proper divisors (10346687720).

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

5436587800 is a wasteful number, since it uses less digits than its factorization.

5436587800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 5436587800 is about 73733.2204640486. The cubic root of 5436587800 is about 1758.3640747429.

The spelling of 5436587800 in words is "five billion, four hundred thirty-six million, five hundred eighty-seven thousand, eight hundred".