21171590664360 has 256 divisors, whose sum is σ = 65832763392000. Its totient is φ = 5441245286400.

The previous prime is 21171590664349. The next prime is 21171590664403. The reversal of 21171590664360 is 6346609517112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1202990841 + ... + 1203008439.

It is an arithmetic number, because the mean of its divisors is an integer number (257159232000).

Almost surely, 2^{21171590664360} is an apocalyptic number.

21171590664360 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 21171590664360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32916381696000).

21171590664360 is an abundant number, since it is smaller than the sum of its proper divisors (44661172727640).

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

21171590664360 is a wasteful number, since it uses less digits than its factorization.

21171590664360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18952 (or 18948 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 21171590664360 in words is "twenty-one trillion, one hundred seventy-one billion, five hundred ninety million, six hundred sixty-four thousand, three hundred sixty".