20073446515600 has 135 divisors (see below), whose sum is σ = 48832590227953. Its totient is φ = 7929700001920.

The previous prime is 20073446515571. The next prime is 20073446515609. The reversal of 20073446515600 is 651564437002.

The square root of 20073446515600 is 4480340.

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

It can be written as a sum of positive squares in only one way, i.e., 7226440745616 + 12847005769984 = 2688204^2 + 3584272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20073446515609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7437363051 + ... + 7437365749.

Almost surely, 2^{20073446515600} is an apocalyptic number.

20073446515600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20073446515600 is the 4480340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20073446515600

20073446515600 is an abundant number, since it is smaller than the sum of its proper divisors (28759143712353).

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

20073446515600 is an frugal number, since it uses more digits than its factorization.

20073446515600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 20073446515600 in words is "twenty trillion, seventy-three billion, four hundred forty-six million, five hundred fifteen thousand, six hundred".