22085167104 has 1440 divisors, whose sum is σ = 94897202400. Its totient is φ = 5016453120.

The previous prime is 22085167103. The next prime is 22085167129. The reversal of 22085167104 is 40176158022.

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

It is not an unprimeable number, because it can be changed into a prime (22085167103) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1162377207 + ... + 1162377225.

It is an arithmetic number, because the mean of its divisors is an integer number (65900835).

Almost surely, 2^22085167104 is an apocalyptic number.

22085167104 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 22085167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47448601200).

22085167104 is an abundant number, since it is smaller than the sum of its proper divisors (72812035296).

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

22085167104 is a wasteful number, since it uses less digits than its factorization.

22085167104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 22085167104 in words is "twenty-two billion, eighty-five million, one hundred sixty-seven thousand, one hundred four".