21675228436160 has 224 divisors, whose sum is σ = 58576107018240. Its totient is φ = 7573369909248.

The previous prime is 21675228436139. The next prime is 21675228436171. The reversal of 21675228436160 is 6163482257612.

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, 69953897 + ... + 70263063.

It is an arithmetic number, because the mean of its divisors is an integer number (261500477760).

Almost surely, 2^{21675228436160} is an apocalyptic number.

21675228436160 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 21675228436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29288053509120).

21675228436160 is an abundant number, since it is smaller than the sum of its proper divisors (36900878582080).

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

21675228436160 is a wasteful number, since it uses less digits than its factorization.

21675228436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310103 (or 310093 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 21675228436160 in words is "twenty-one trillion, six hundred seventy-five billion, two hundred twenty-eight million, four hundred thirty-six thousand, one hundred sixty".