5909809620100 has 27 divisors (see below), whose sum is σ = 12824339628751. Its totient is φ = 2363914124000.

The previous prime is 5909809620097. The next prime is 5909809620101. The reversal of 5909809620100 is 10269089095.

The square root of 5909809620100 is 2431010.

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 5142897796 + 5904666722304 = 71714^2 + 2429952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5909809620101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24188550 + ... + 24431650.

Almost surely, 2^{5909809620100} is an apocalyptic number.

5909809620100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5909809620100 is the 2431010-th square number.

It is an amenable number.

5909809620100 is an abundant number, since it is smaller than the sum of its proper divisors (6914530008651).

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

5909809620100 is an frugal number, since it uses more digits than its factorization.

5909809620100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486216 (or 243108 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 49.

Multiplying 5909809620100 by its sum of digits (49), we get a square (289580671384900 = 17017070²).

The spelling of 5909809620100 in words is "five trillion, nine hundred nine billion, eight hundred nine million, six hundred twenty thousand, one hundred".