21717434880000 has 1300 divisors, whose sum is σ = 81591873092928. Its totient is φ = 5777879040000.

The previous prime is 21717434879993. The next prime is 21717434880017. The reversal of 21717434880000 is 8843471712.

21717434880000 is a `hidden beast` number, since 217 + 17 + 4 + 348 + 80 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×21717434880000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 50388479785 + ... + 50388480215.

Almost surely, 2^{21717434880000} is an apocalyptic number.

21717434880000 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 21717434880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40795936546464).

21717434880000 is an abundant number, since it is smaller than the sum of its proper divisors (59874438212928).

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

21717434880000 is an frugal number, since it uses more digits than its factorization.

21717434880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 21717434880000 in words is "twenty-one trillion, seven hundred seventeen billion, four hundred thirty-four million, eight hundred eighty thousand".