90270202500 has 135 divisors (see below), whose sum is σ = 285279917923. Its totient is φ = 24060036000.

The previous prime is 90270202471. The next prime is 90270202531. The reversal of 90270202500 is 520207209.

It is a happy number.

The square root of 90270202500 is 300450.

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

90270202500 is a `hidden beast` number, since 90 + 2 + 70 + 2 + 0 + 2 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7077183876 + 83193018624 = 84126^2 + 288432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45066499 + ... + 45068501.

Almost surely, 2^90270202500 is an apocalyptic number.

90270202500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90270202500 is the 300450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90270202500

90270202500 is an abundant number, since it is smaller than the sum of its proper divisors (195009715423).

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

90270202500 is an equidigital number, since it uses as much as digits as its factorization.

90270202500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 90270202500 its reverse (520207209), we get a palindrome (90790409709).

The spelling of 90270202500 in words is "ninety billion, two hundred seventy million, two hundred two thousand, five hundred".