26668072163172 has 96 divisors (see below), whose sum is σ = 68169936941568. Its totient is φ = 8047005120000.

The previous prime is 26668072163171. The next prime is 26668072163209. The reversal of 26668072163172 is 27136127086662.

It is a happy number.

It is a super-2 number, since 2×26668072163172² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26668072163171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458413647 + ... + 458471817.

It is an arithmetic number, because the mean of its divisors is an integer number (710103509808).

Almost surely, 2^{26668072163172} is an apocalyptic number.

26668072163172 is a gapful number since it is divisible by the number (22) 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 26668072163172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34084968470784).

26668072163172 is an abundant number, since it is smaller than the sum of its proper divisors (41501864778396).

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

26668072163172 is a wasteful number, since it uses less digits than its factorization.

26668072163172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72841 (or 72839 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 26668072163172 in words is "twenty-six trillion, six hundred sixty-eight billion, seventy-two million, one hundred sixty-three thousand, one hundred seventy-two".