5338569600 has 1152 divisors, whose sum is σ = 24728104800. Its totient is φ = 1114767360.

The previous prime is 5338569553. The next prime is 5338569601. The reversal of 5338569600 is 69658335.

5338569600 is a `hidden beast` number, since 5 + 3 + 38 + 5 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5338569601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55036752 + ... + 55036848.

Almost surely, 2^5338569600 is an apocalyptic number.

5338569600 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 5338569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364052400).

5338569600 is an abundant number, since it is smaller than the sum of its proper divisors (19389535200).

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

5338569600 is a wasteful number, since it uses less digits than its factorization.

5338569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5338569600 is about 73065.5158060217. The cubic root of 5338569600 is about 1747.7325299811.

The spelling of 5338569600 in words is "five billion, three hundred thirty-eight million, five hundred sixty-nine thousand, six hundred".