21917241089604 has 288 divisors, whose sum is σ = 70476926607360. Its totient is φ = 5601087014400.

The previous prime is 21917241089561. The next prime is 21917241089621. The reversal of 21917241089604 is 40698014271912.

21917241089604 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 7 + 24 + 1 + 0 + 8 + 9 + 604 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4284787 + ... + 7886309.

It is an arithmetic number, because the mean of its divisors is an integer number (244711550720).

Almost surely, 2^{21917241089604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21917241089604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35238463303680).

21917241089604 is an abundant number, since it is smaller than the sum of its proper divisors (48559685517756).

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

21917241089604 is a wasteful number, since it uses less digits than its factorization.

21917241089604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601631 (or 3601626 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 21917241089604 in words is "twenty-one trillion, nine hundred seventeen billion, two hundred forty-one million, eighty-nine thousand, six hundred four".