21752686126080 has 1584 divisors, whose sum is σ = 96979487033520. Its totient is φ = 4465312137216.

The previous prime is 21752686126013. The next prime is 21752686126081. The reversal of 21752686126080 is 8062168625712.

21752686126080 is a `hidden beast` number, since 2 + 1 + 7 + 5 + 26 + 8 + 6 + 1 + 2 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 575607481344 + 21177078644736 = 758688^2 + 4601856^2 .

It is not an unprimeable number, because it can be changed into a prime (21752686126081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1086049506 + ... + 1086069534.

Almost surely, 2^{21752686126080} is an apocalyptic number.

21752686126080 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 21752686126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48489743516760).

21752686126080 is an abundant number, since it is smaller than the sum of its proper divisors (75226800907440).

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

21752686126080 is a wasteful number, since it uses less digits than its factorization.

21752686126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20124 (or 20096 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 21752686126080 in words is "twenty-one trillion, seven hundred fifty-two billion, six hundred eighty-six million, one hundred twenty-six thousand, eighty".