21741354202560 has 224 divisors, whose sum is σ = 69523865332992. Its totient is φ = 5756187525120.

The previous prime is 21741354202559. The next prime is 21741354202637. The reversal of 21741354202560 is 6520245314712.

It is a happy number.

It is a super-2 number, since 2×21741354202560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152809855 + ... + 152952065.

It is an arithmetic number, because the mean of its divisors is an integer number (310374398808).

Almost surely, 2^{21741354202560} is an apocalyptic number.

21741354202560 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 21741354202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34761932666496).

21741354202560 is an abundant number, since it is smaller than the sum of its proper divisors (47782511130432).

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

21741354202560 is a wasteful number, since it uses less digits than its factorization.

21741354202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143371 (or 143361 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 21741354202560 in words is "twenty-one trillion, seven hundred forty-one billion, three hundred fifty-four million, two hundred two thousand, five hundred sixty".