20056224400 has 135 divisors (see below), whose sum is σ = 49363034481. Its totient is φ = 7831019520.

The previous prime is 20056224361. The next prime is 20056224401. The reversal of 20056224400 is 442265002.

The square root of 20056224400 is 141620.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12510869904 + 7545354496 = 111852^2 + 86864^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20056224401) 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, 206765152 + ... + 206765248.

Almost surely, 2^20056224400 is an apocalyptic number.

20056224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20056224400 is the 141620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20056224400

20056224400 is an abundant number, since it is smaller than the sum of its proper divisors (29306810081).

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

20056224400 is an frugal number, since it uses more digits than its factorization.

20056224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Multiplying 20056224400 by its sum of digits (25), we get a square (501405610000 = 708100²).

20056224400 divided by its sum of digits (25) gives a square (802248976 = 28324²).

Adding to 20056224400 its reverse (442265002), we get a palindrome (20498489402).

The spelling of 20056224400 in words is "twenty billion, fifty-six million, two hundred twenty-four thousand, four hundred".