23027166172032 has 512 divisors, whose sum is σ = 67954208256000. Its totient is φ = 6851041689600.

The previous prime is 23027166172009. The next prime is 23027166172057.

23027166172032 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42564077682 + ... + 42564078222.

It is an arithmetic number, because the mean of its divisors is an integer number (132723063000).

Almost surely, 2^{23027166172032} is an apocalyptic number.

23027166172032 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 23027166172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33977104128000).

23027166172032 is an abundant number, since it is smaller than the sum of its proper divisors (44927042083968).

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

23027166172032 is a wasteful number, since it uses less digits than its factorization.

23027166172032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

It can be divided in two parts, 2302716 and 6172032, that added together give a palindrome (8474748).

The spelling of 23027166172032 in words is "twenty-three trillion, twenty-seven billion, one hundred sixty-six million, one hundred seventy-two thousand, thirty-two".