20424162876100 has 81 divisors (see below), whose sum is σ = 45177744244647. Its totient is φ = 8014580508480.

The previous prime is 20424162876037. The next prime is 20424162876107. The reversal of 20424162876100 is 167826142402.

The square root of 20424162876100 is 4519310.

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 153853786564 + 20270309089536 = 392242^2 + 4502256^2 .

It is a super-2 number, since 2×20424162876100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20424162876107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2395230037 + ... + 2395238563.

Almost surely, 2^{20424162876100} is an apocalyptic number.

20424162876100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20424162876100 is the 4519310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20424162876100

20424162876100 is an abundant number, since it is smaller than the sum of its proper divisors (24753581368547).

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

20424162876100 is an frugal number, since it uses more digits than its factorization.

20424162876100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17174 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 20424162876100 in words is "twenty trillion, four hundred twenty-four billion, one hundred sixty-two million, eight hundred seventy-six thousand, one hundred".