5325465600 has 864 divisors, whose sum is σ = 23658485760. Its totient is φ = 1114767360.

The previous prime is 5325465569. The next prime is 5325465601. The reversal of 5325465600 is 65645235.

It is a happy number.

5325465600 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 46 + 5 + 600 = 666.

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 (5325465601) 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, 41932737 + ... + 41932863.

Almost surely, 2^5325465600 is an apocalyptic number.

5325465600 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 5325465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829242880).

5325465600 is an abundant number, since it is smaller than the sum of its proper divisors (18333020160).

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

5325465600 is a wasteful number, since it uses less digits than its factorization.

5325465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5325465600 is about 72975.7877655322. The cubic root of 5325465600 is about 1746.3013693919.

The spelling of 5325465600 in words is "five billion, three hundred twenty-five million, four hundred sixty-five thousand, six hundred".