5325069600 has 360 divisors, whose sum is σ = 19953324468. Its totient is φ = 1381017600.

The previous prime is 5325069593. The next prime is 5325069601. The reversal of 5325069600 is 69605235.

5325069600 is a `hidden beast` number, since 532 + 5 + 0 + 69 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3584177424 + 1740892176 = 59868^2 + 41724^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (5325069601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2396490 + ... + 2398710.

Almost surely, 2^5325069600 is an apocalyptic number.

5325069600 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 5325069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9976662234).

5325069600 is an abundant number, since it is smaller than the sum of its proper divisors (14628254868).

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

5325069600 is a wasteful number, since it uses less digits than its factorization.

5325069600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5325069600 is about 72973.0744864159. The cubic root of 5325069600 is about 1746.2580835063.

The spelling of 5325069600 in words is "five billion, three hundred twenty-five million, sixty-nine thousand, six hundred".