10208855716900 has 81 divisors (see below), whose sum is σ = 22709631969913. Its totient is φ = 3983432473600.

The previous prime is 10208855716889. The next prime is 10208855716909. The reversal of 10208855716900 is 961755880201.

The square root of 10208855716900 is 3195130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5910996012516 + 4297859704384 = 2431254^2 + 2073128^2 .

It is a super-2 number, since 2×10208855716900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10208855716909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1309999404 + ... + 1310007196.

Almost surely, 2^{10208855716900} is an apocalyptic number.

10208855716900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10208855716900 is the 3195130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10208855716900

10208855716900 is an abundant number, since it is smaller than the sum of its proper divisors (12500776253013).

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

10208855716900 is an frugal number, since it uses more digits than its factorization.

10208855716900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15682 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 52.

The spelling of 10208855716900 in words is "ten trillion, two hundred eight billion, eight hundred fifty-five million, seven hundred sixteen thousand, nine hundred".