13602556900 has 81 divisors (see below), whose sum is σ = 30071857179. Its totient is φ = 5340720960.

The previous prime is 13602556889. The next prime is 13602556907. The reversal of 13602556900 is 965520631.

The square root of 13602556900 is 116630.

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

13602556900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49871844 + 13552685056 = 7062^2 + 116416^2 .

It is a super-2 number, since 2×13602556900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13602556900.

It is not an unprimeable number, because it can be changed into a prime (13602556907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124794046 + ... + 124794154.

Almost surely, 2^13602556900 is an apocalyptic number.

13602556900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13602556900 is the 116630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13602556900

13602556900 is an abundant number, since it is smaller than the sum of its proper divisors (16469300279).

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

13602556900 is a wasteful number, since it uses less digits than its factorization.

13602556900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 13602556900 in words is "thirteen billion, six hundred two million, five hundred fifty-six thousand, nine hundred".