90042069902500 has 135 divisors (see below), whose sum is σ = 198229452166207. Its totient is φ = 35775995872000.

The previous prime is 90042069902497. The next prime is 90042069902507. The reversal of 90042069902500 is 520996024009.

The square root of 90042069902500 is 9489050.

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

It can be written as a sum of positive squares in 22 ways, for example, as 89978238890596 + 63831011904 = 9485686^2 + 252648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90042069902507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82080281952 + ... + 82080283048.

Almost surely, 2^{90042069902500} is an apocalyptic number.

90042069902500 is the 9489050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90042069902500

90042069902500 is an abundant number, since it is smaller than the sum of its proper divisors (108187382263707).

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

90042069902500 is an frugal number, since it uses more digits than its factorization.

90042069902500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 90042069902500 in words is "ninety trillion, forty-two billion, sixty-nine million, nine hundred two thousand, five hundred".