20295205200400 has 135 divisors (see below), whose sum is σ = 52801504042791. Its totient is φ = 7493181745920.

The previous prime is 20295205200359. The next prime is 20295205200401. The reversal of 20295205200400 is 400250259202.

The square root of 20295205200400 is 4505020.

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 5231119162896 + 15064086037504 = 2287164^2 + 3881248^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20295205200401) 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, 1171296537 + ... + 1171313863.

Almost surely, 2^{20295205200400} is an apocalyptic number.

20295205200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20295205200400 is the 4505020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20295205200400

20295205200400 is an abundant number, since it is smaller than the sum of its proper divisors (32506298842391).

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

20295205200400 is an frugal number, since it uses more digits than its factorization.

20295205200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34698 (or 17347 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 20295205200400 its reverse (400250259202), we get a palindrome (20695455459602).

The spelling of 20295205200400 in words is "twenty trillion, two hundred ninety-five billion, two hundred five million, two hundred thousand, four hundred".