21839688037728 has 432 divisors, whose sum is σ = 70176340005408. Its totient is φ = 6435439718400.

The previous prime is 21839688037721. The next prime is 21839688037733. The reversal of 21839688037728 is 82773088693812.

21839688037728 is a `hidden beast` number, since 21 + 83 + 9 + 68 + 80 + 377 + 28 = 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 (21839688037721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 180556726 + ... + 180677642.

It is an arithmetic number, because the mean of its divisors is an integer number (162445231494).

Almost surely, 2^{21839688037728} 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 21839688037728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35088170002704).

21839688037728 is an abundant number, since it is smaller than the sum of its proper divisors (48336651967680).

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

21839688037728 is a wasteful number, since it uses less digits than its factorization.

21839688037728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121099 (or 121077 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 21839688037728 in words is "twenty-one trillion, eight hundred thirty-nine billion, six hundred eighty-eight million, thirty-seven thousand, seven hundred twenty-eight".