21797788207104 has 2304 divisors, whose sum is σ = 88852114391040. Its totient is φ = 5171246530560.

The previous prime is 21797788207103. The next prime is 21797788207133. The reversal of 21797788207104 is 40170288779712.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21797788207103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17707382169 + ... + 17707383399.

It is an arithmetic number, because the mean of its divisors is an integer number (38564285760).

Almost surely, 2^{21797788207104} is an apocalyptic number.

21797788207104 is a gapful number since it is divisible by the number (24) 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 21797788207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44426057195520).

21797788207104 is an abundant number, since it is smaller than the sum of its proper divisors (67054326183936).

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

21797788207104 is a wasteful number, since it uses less digits than its factorization.

21797788207104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 63.

The spelling of 21797788207104 in words is "twenty-one trillion, seven hundred ninety-seven billion, seven hundred eighty-eight million, two hundred seven thousand, one hundred four".