20827995742008 has 512 divisors, whose sum is σ = 74031148800000. Its totient is φ = 5389441214976.

The previous prime is 20827995742007. The next prime is 20827995742031. The reversal of 20827995742008 is 80024759972802.

20827995742008 is a `hidden beast` number, since 2 + 0 + 8 + 279 + 95 + 74 + 200 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20827995742007) 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 127 ways as a sum of consecutive naturals, for example, 50842623 + ... + 51250641.

It is an arithmetic number, because the mean of its divisors is an integer number (144592087500).

Almost surely, 2^{20827995742008} is an apocalyptic number.

20827995742008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20827995742008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37015574400000).

20827995742008 is an abundant number, since it is smaller than the sum of its proper divisors (53203153057992).

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

20827995742008 is a wasteful number, since it uses less digits than its factorization.

20827995742008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408121 (or 408097 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 20827995742008 in words is "twenty trillion, eight hundred twenty-seven billion, nine hundred ninety-five million, seven hundred forty-two thousand, eight".