21517676123344 has 160 divisors (see below), whose sum is σ = 43598930918400. Its totient is φ = 10276564623360.

The previous prime is 21517676123341. The next prime is 21517676123353. The reversal of 21517676123344 is 44332167671512.

It is a junction number, because it is equal to n+sod(n) for n = 21517676123291 and 21517676123300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21517676123341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8902636824 + ... + 8902639240.

It is an arithmetic number, because the mean of its divisors is an integer number (272493318240).

Almost surely, 2^{21517676123344} 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 21517676123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21799465459200).

21517676123344 is an abundant number, since it is smaller than the sum of its proper divisors (22081254795056).

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

21517676123344 is a wasteful number, since it uses less digits than its factorization.

21517676123344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3335 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 52.

The spelling of 21517676123344 in words is "twenty-one trillion, five hundred seventeen billion, six hundred seventy-six million, one hundred twenty-three thousand, three hundred forty-four".