21717445140000 has 960 divisors, whose sum is σ = 80416249562880. Its totient is φ = 5699635200000.

The previous prime is 21717445139993. The next prime is 21717445140071. The reversal of 21717445140000 is 4154471712.

21717445140000 is a `hidden beast` number, since 2 + 1 + 71 + 7 + 445 + 140 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9214018822 + ... + 9214021178.

It is an arithmetic number, because the mean of its divisors is an integer number (83766926628).

Almost surely, 2^{21717445140000} is an apocalyptic number.

21717445140000 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 21717445140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40208124781440).

21717445140000 is an abundant number, since it is smaller than the sum of its proper divisors (58698804422880).

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

21717445140000 is a wasteful number, since it uses less digits than its factorization.

21717445140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 21717445140000 in words is "twenty-one trillion, seven hundred seventeen billion, four hundred forty-five million, one hundred forty thousand".