21066004671360 has 384 divisors, whose sum is σ = 74005363666080. Its totient is φ = 5093197824000.

The previous prime is 21066004671359. The next prime is 21066004671367. The reversal of 21066004671360 is 6317640066012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×21066004671360² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21066004671367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86533810 + ... + 86776910.

Almost surely, 2^{21066004671360} is an apocalyptic number.

21066004671360 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 21066004671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37002681833040).

21066004671360 is an abundant number, since it is smaller than the sum of its proper divisors (52939358994720).

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

21066004671360 is a wasteful number, since it uses less digits than its factorization.

21066004671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243518 (or 243495 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 21066004671360 in words is "twenty-one trillion, sixty-six billion, four million, six hundred seventy-one thousand, three hundred sixty".