20868629271888 has 160 divisors (see below), whose sum is σ = 54916510118400. Its totient is φ = 6827585632768.

The previous prime is 20868629271881. The next prime is 20868629271899. The reversal of 20868629271888 is 88817292686802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20868629271881) 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 31 ways as a sum of consecutive naturals, for example, 790854631 + ... + 790881017.

It is an arithmetic number, because the mean of its divisors is an integer number (343228188240).

Almost surely, 2^{20868629271888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20868629271888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27458255059200).

20868629271888 is an abundant number, since it is smaller than the sum of its proper divisors (34047880846512).

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

20868629271888 is a wasteful number, since it uses less digits than its factorization.

20868629271888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27769 (or 27763 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 75.

The spelling of 20868629271888 in words is "twenty trillion, eight hundred sixty-eight billion, six hundred twenty-nine million, two hundred seventy-one thousand, eight hundred eighty-eight".