21288050808960 has 512 divisors, whose sum is σ = 77559187910400. Its totient is φ = 4920080596992.

The previous prime is 21288050808931. The next prime is 21288050809013. The reversal of 21288050808960 is 6980805088212.

It is a super-2 number, since 2×21288050808960² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21288050808960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177730212 + ... + 177849948.

Almost surely, 2^{21288050808960} is an apocalyptic number.

21288050808960 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 21288050808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38779593955200).

21288050808960 is an abundant number, since it is smaller than the sum of its proper divisors (56271137101440).

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

21288050808960 is a wasteful number, since it uses less digits than its factorization.

21288050808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120208 (or 120196 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 57.

The spelling of 21288050808960 in words is "twenty-one trillion, two hundred eighty-eight billion, fifty million, eight hundred eight thousand, nine hundred sixty".