20052394440100 has 81 divisors (see below), whose sum is σ = 47830278727651. Its totient is φ = 7291600676800.

The previous prime is 20052394440079. The next prime is 20052394440101. The reversal of 20052394440100 is 104449325002.

The square root of 20052394440100 is 4477990.

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 2192371803556 + 17860022636544 = 1480666^2 + 4226112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20052394440101) 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, 492558546 + ... + 492599254.

Almost surely, 2^{20052394440100} is an apocalyptic number.

20052394440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20052394440100 is the 4477990-th square number.

It is an amenable number.

20052394440100 is an abundant number, since it is smaller than the sum of its proper divisors (27777884287551).

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

20052394440100 is an frugal number, since it uses more digits than its factorization.

20052394440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81454 (or 40727 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 20052394440100 in words is "twenty trillion, fifty-two billion, three hundred ninety-four million, four hundred forty thousand, one hundred".