20688220014132 has 192 divisors, whose sum is σ = 54775004110848. Its totient is φ = 6022266624000.

The previous prime is 20688220014113. The next prime is 20688220014139. The reversal of 20688220014132 is 23141002288602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20688220014139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 896708157 + ... + 896731227.

It is an arithmetic number, because the mean of its divisors is an integer number (285286479744).

Almost surely, 2^{20688220014132} is an apocalyptic number.

20688220014132 is a gapful number since it is divisible by the number (22) 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 20688220014132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27387502055424).

20688220014132 is an abundant number, since it is smaller than the sum of its proper divisors (34086784096716).

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

20688220014132 is a wasteful number, since it uses less digits than its factorization.

20688220014132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25670 (or 25668 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 20688220014132 in words is "twenty trillion, six hundred eighty-eight billion, two hundred twenty million, fourteen thousand, one hundred thirty-two".