22164052611000 has 256 divisors, whose sum is σ = 70108925328000. Its totient is φ = 5828954419200.

The previous prime is 22164052610993. The next prime is 22164052611053. The reversal of 22164052611000 is 11625046122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 103756302 + ... + 103969698.

Almost surely, 2^{22164052611000} is an apocalyptic number.

22164052611000 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 22164052611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35054462664000).

22164052611000 is an abundant number, since it is smaller than the sum of its proper divisors (47944872717000).

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

22164052611000 is a wasteful number, since it uses less digits than its factorization.

22164052611000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213899 (or 213885 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 22164052611000 its reverse (11625046122), we get a palindrome (22175677657122).

The spelling of 22164052611000 in words is "twenty-two trillion, one hundred sixty-four billion, fifty-two million, six hundred eleven thousand".