202590010000 has 225 divisors, whose sum is σ = 571459520511. Its totient is φ = 69351408000.

The previous prime is 202590009971. The next prime is 202590010019. The reversal of 202590010000 is 10095202.

The square root of 202590010000 is 450100.

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

202590010000 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 2 ways, for example, as 15883056784 + 186706953216 = 126028^2 + 432096^2 .

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 202590010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 315069679 + ... + 315070321.

Almost surely, 2^202590010000 is an apocalyptic number.

202590010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202590010000 is the 450100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202590010000

202590010000 is an abundant number, since it is smaller than the sum of its proper divisors (368869510511).

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

202590010000 is an frugal number, since it uses more digits than its factorization.

202590010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 202590010000 in words is "two hundred two billion, five hundred ninety million, ten thousand".