20773456900 has 243 divisors, whose sum is σ = 55084389087. Its totient is φ = 6779875200.

The previous prime is 20773456877. The next prime is 20773456909. The reversal of 20773456900 is 965437702.

The square root of 20773456900 is 144130.

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 285542404 + 20487914496 = 16898^2 + 143136^2 .

It is a super-2 number, since 2×20773456900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20773456909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 292583865 + ... + 292583935.

Almost surely, 2^20773456900 is an apocalyptic number.

20773456900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20773456900 is the 144130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20773456900

20773456900 is an abundant number, since it is smaller than the sum of its proper divisors (34310932187).

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

20773456900 is a wasteful number, since it uses less digits than its factorization.

20773456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 20773456900 in words is "twenty billion, seven hundred seventy-three million, four hundred fifty-six thousand, nine hundred".