21704242508928 has 1152 divisors, whose sum is σ = 79463658960000. Its totient is φ = 5813864792064.

The previous prime is 21704242508791. The next prime is 21704242508939. The reversal of 21704242508928 is 82980524240712.

21704242508928 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 4 + 2 + 42 + 508 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15514111173 + ... + 15514112571.

It is an arithmetic number, because the mean of its divisors is an integer number (68978870625).

Almost surely, 2^{21704242508928} is an apocalyptic number.

21704242508928 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 21704242508928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39731829480000).

21704242508928 is an abundant number, since it is smaller than the sum of its proper divisors (57759416451072).

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

21704242508928 is a wasteful number, since it uses less digits than its factorization.

21704242508928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 21704242508928 in words is "twenty-one trillion, seven hundred four billion, two hundred forty-two million, five hundred eight thousand, nine hundred twenty-eight".