21052671245760 has 672 divisors, whose sum is σ = 85030234490880. Its totient is φ = 4319193415680.

The previous prime is 21052671245759. The next prime is 21052671245777. The reversal of 21052671245760 is 6754217625012.

It is a Cunningham number, because it is equal to 4588319²-1.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64072612 + ... + 64400348.

It is an arithmetic number, because the mean of its divisors is an integer number (126533087040).

Almost surely, 2^{21052671245760} is an apocalyptic number.

21052671245760 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 21052671245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42515117245440).

21052671245760 is an abundant number, since it is smaller than the sum of its proper divisors (63977563245120).

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

21052671245760 is a wasteful number, since it uses less digits than its factorization.

21052671245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327865 (or 327844 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 21052671245760 in words is "twenty-one trillion, fifty-two billion, six hundred seventy-one million, two hundred forty-five thousand, seven hundred sixty".