5325156216900 has 729 divisors, whose sum is σ = 18566669686383. Its totient is φ = 1276027084800.

The previous prime is 5325156216859. The next prime is 5325156216907. The reversal of 5325156216900 is 96126515235.

The square root of 5325156216900 is 2307630.

It is a perfect power (a square), and thus also a powerful number.

5325156216900 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 15 + 621 + 6 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 744289249284 + 4580866967616 = 862722^2 + 2140296^2 .

It is a super-2 number, since 2×5325156216900² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5325156216907) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 54898517652 + ... + 54898517748.

Almost surely, 2^{5325156216900} is an apocalyptic number.

5325156216900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5325156216900 is the 2307630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5325156216900

5325156216900 is an abundant number, since it is smaller than the sum of its proper divisors (13241513469483).

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

5325156216900 is a wasteful number, since it uses less digits than its factorization.

5325156216900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 5325156216900 in words is "five trillion, three hundred twenty-five billion, one hundred fifty-six million, two hundred sixteen thousand, nine hundred".