20388768895440 has 3200 divisors, whose sum is σ = 86803301376000. Its totient is φ = 4381632921600.

The previous prime is 20388768895403. The next prime is 20388768895441. The reversal of 20388768895440 is 4459886788302.

20388768895440 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 8 + 76 + 8 + 8 + 9 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20388768895441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 229087290916 + ... + 229087291004.

It is an arithmetic number, because the mean of its divisors is an integer number (27126031680).

Almost surely, 2^{20388768895440} is an apocalyptic number.

20388768895440 is a gapful number since it is divisible by the number (20) 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 20388768895440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43401650688000).

20388768895440 is an abundant number, since it is smaller than the sum of its proper divisors (66414532480560).

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

20388768895440 is a wasteful number, since it uses less digits than its factorization.

20388768895440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 20388768895440 in words is "twenty trillion, three hundred eighty-eight billion, seven hundred sixty-eight million, eight hundred ninety-five thousand, four hundred forty".