21725791169280 has 1152 divisors, whose sum is σ = 85628323307520. Its totient is φ = 4625859870720.

The previous prime is 21725791169239. The next prime is 21725791169323. The reversal of 21725791169280 is 8296119752712.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 914103957 + ... + 914127723.

It is an arithmetic number, because the mean of its divisors is an integer number (74330141760).

Almost surely, 2^{21725791169280} is an apocalyptic number.

21725791169280 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 21725791169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42814161653760).

21725791169280 is an abundant number, since it is smaller than the sum of its proper divisors (63902532138240).

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

21725791169280 is a wasteful number, since it uses less digits than its factorization.

21725791169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23905 (or 23891 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 21725791169280 in words is "twenty-one trillion, seven hundred twenty-five billion, seven hundred ninety-one million, one hundred sixty-nine thousand, two hundred eighty".