21166195000704 has 128 divisors (see below), whose sum is σ = 60555560083200. Its totient is φ = 6511811536896.

The previous prime is 21166195000637. The next prime is 21166195000723. The reversal of 21166195000704 is 40700059166112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37876477 + ... + 38431235.

It is an arithmetic number, because the mean of its divisors is an integer number (473090313150).

Almost surely, 2^{21166195000704} is an apocalyptic number.

21166195000704 is a gapful number since it is divisible by the number (24) 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 21166195000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30277780041600).

21166195000704 is an abundant number, since it is smaller than the sum of its proper divisors (39389365082496).

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

21166195000704 is a wasteful number, since it uses less digits than its factorization.

21166195000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562432 (or 562420 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 21166195000704 in words is "twenty-one trillion, one hundred sixty-six billion, one hundred ninety-five million, seven hundred four", and thus it is an aban number.