21462808066560 has 1280 divisors, whose sum is σ = 88921200107520. Its totient is φ = 4805762088960.

The previous prime is 21462808066559. The next prime is 21462808066621. The reversal of 21462808066560 is 6566080826412.

21462808066560 is a `hidden beast` number, since 2 + 1 + 4 + 628 + 0 + 8 + 0 + 6 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21462808066497 and 21462808066506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5599478404 + ... + 5599482236.

It is an arithmetic number, because the mean of its divisors is an integer number (69469687584).

Almost surely, 2^{21462808066560} is an apocalyptic number.

21462808066560 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 21462808066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44460600053760).

21462808066560 is an abundant number, since it is smaller than the sum of its proper divisors (67458392040960).

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

21462808066560 is a wasteful number, since it uses less digits than its factorization.

21462808066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 21462808066560 in words is "twenty-one trillion, four hundred sixty-two billion, eight hundred eight million, sixty-six thousand, five hundred sixty".