50207286204100 has 81 divisors (see below), whose sum is σ = 110291193626887. Its totient is φ = 19838627543680.

The previous prime is 50207286204073. The next prime is 50207286204137. The reversal of 50207286204100 is 140268270205.

It is a happy number.

The square root of 50207286204100 is 7085710.

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 4255482145924 + 45951804058176 = 2062882^2 + 6778776^2 .

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 50207286204100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5881135032 + ... + 5881143568.

Almost surely, 2^{50207286204100} is an apocalyptic number.

50207286204100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50207286204100 is the 7085710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50207286204100

50207286204100 is an abundant number, since it is smaller than the sum of its proper divisors (60083907422787).

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

50207286204100 is an frugal number, since it uses more digits than its factorization.

50207286204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17254 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 50207286204100 in words is "fifty trillion, two hundred seven billion, two hundred eighty-six million, two hundred four thousand, one hundred".