20209465600 has 81 divisors (see below), whose sum is σ = 50049750387. Its totient is φ = 8079237120.

The previous prime is 20209465579. The next prime is 20209465609. The reversal of 20209465600 is 656490202.

The square root of 20209465600 is 142160.

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 366799104 + 19842666496 = 19152^2 + 140864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20209465609) 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, 11371912 + ... + 11373688.

Almost surely, 2^20209465600 is an apocalyptic number.

20209465600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20209465600 is the 142160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20209465600

20209465600 is an abundant number, since it is smaller than the sum of its proper divisors (29840284787).

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

20209465600 is an frugal number, since it uses more digits than its factorization.

20209465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

It can be divided in two parts, 20209 and 465600, that added together give a square (485809 = 697²).

The spelling of 20209465600 in words is "twenty billion, two hundred nine million, four hundred sixty-five thousand, six hundred".