22135173504 has 128 divisors (see below), whose sum is σ = 61430503680. Its totient is φ = 7048673280.

The previous prime is 22135173479. The next prime is 22135173509. The reversal of 22135173504 is 40537153122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22135173509) 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 15 ways as a sum of consecutive naturals, for example, 13520974 + ... + 13522610.

It is an arithmetic number, because the mean of its divisors is an integer number (479925810).

Almost surely, 2^22135173504 is an apocalyptic number.

22135173504 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 22135173504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30715251840).

22135173504 is an abundant number, since it is smaller than the sum of its proper divisors (39295330176).

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

22135173504 is a wasteful number, since it uses less digits than its factorization.

22135173504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 22135173504 in words is "twenty-two billion, one hundred thirty-five million, one hundred seventy-three thousand, five hundred four".