5325656400 has 180 divisors, whose sum is σ = 18527368860. Its totient is φ = 1416652800.

The previous prime is 5325656363. The next prime is 5325656407. The reversal of 5325656400 is 46565235.

It is a happy number.

5325656400 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 6 + 5 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 213978384 + 5111678016 = 14628^2 + 71496^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (5325656407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1657996 + ... + 1661204.

It is an arithmetic number, because the mean of its divisors is an integer number (102929827).

Almost surely, 2^5325656400 is an apocalyptic number.

5325656400 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 5325656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9263684430).

5325656400 is an abundant number, since it is smaller than the sum of its proper divisors (13201712460).

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

5325656400 is a wasteful number, since it uses less digits than its factorization.

5325656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3680 counting only the distinct ones).

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

The square root of 5325656400 is about 72977.0950367305. The cubic root of 5325656400 is about 1746.3222245525.

The spelling of 5325656400 in words is "five billion, three hundred twenty-five million, six hundred fifty-six thousand, four hundred".