536365816900 has 27 divisors (see below), whose sum is σ = 1163929715319. Its totient is φ = 214543397280.

The previous prime is 536365816897. The next prime is 536365816901. The reversal of 536365816900 is 9618563635.

The square root of 536365816900 is 732370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13856585796 + 522509231104 = 117714^2 + 722848^2 .

It is a super-2 number, since 2×536365816900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (536365816901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7287082 + ... + 7360318.

Almost surely, 2^536365816900 is an apocalyptic number.

536365816900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

536365816900 is the 732370-th square number.

It is an amenable number.

536365816900 is an abundant number, since it is smaller than the sum of its proper divisors (627563898419).

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

536365816900 is an frugal number, since it uses more digits than its factorization.

536365816900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146488 (or 73244 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The spelling of 536365816900 in words is "five hundred thirty-six billion, three hundred sixty-five million, eight hundred sixteen thousand, nine hundred".