21805474360320 has 1056 divisors, whose sum is σ = 93826588078080. Its totient is φ = 4569431408640.

The previous prime is 21805474360309. The next prime is 21805474360349. The reversal of 21805474360320 is 2306347450812.

21805474360320 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 547 + 43 + 60 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189930454 + ... + 190045226.

It is an arithmetic number, because the mean of its divisors is an integer number (88850935680).

Almost surely, 2^{21805474360320} is an apocalyptic number.

21805474360320 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 21805474360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46913294039040).

21805474360320 is an abundant number, since it is smaller than the sum of its proper divisors (72021113717760).

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

21805474360320 is a wasteful number, since it uses less digits than its factorization.

21805474360320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114861 (or 114840 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 21805474360320 in words is "twenty-one trillion, eight hundred five billion, four hundred seventy-four million, three hundred sixty thousand, three hundred twenty".