5536339200 has 864 divisors, whose sum is σ = 24331776000. Its totient is φ = 1204346880.

The previous prime is 5536339169. The next prime is 5536339201. The reversal of 5536339200 is 29336355.

5536339200 is a `hidden beast` number, since 5 + 536 + 33 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5536339201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27820701 + ... + 27820899.

Almost surely, 2^5536339200 is an apocalyptic number.

5536339200 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 5536339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165888000).

5536339200 is an abundant number, since it is smaller than the sum of its proper divisors (18795436800).

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

5536339200 is a wasteful number, since it uses less digits than its factorization.

5536339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The square root of 5536339200 is about 74406.5803541595. The cubic root of 5536339200 is about 1769.0532138427.

The spelling of 5536339200 in words is "five billion, five hundred thirty-six million, three hundred thirty-nine thousand, two hundred".