172052388768 has 144 divisors (see below), whose sum is σ = 505916500320. Its totient is φ = 51113567232.

The previous prime is 172052388763. The next prime is 172052388769. The reversal of 172052388768 is 867883250271.

172052388768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (172052388763) 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 23 ways as a sum of consecutive naturals, for example, 287655 + ... + 653337.

It is an arithmetic number, because the mean of its divisors is an integer number (3513309030).

Almost surely, 2^172052388768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172052388768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252958250160).

172052388768 is an abundant number, since it is smaller than the sum of its proper divisors (333864111552).

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

172052388768 is a wasteful number, since it uses less digits than its factorization.

172052388768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365751 (or 365730 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 172052388768 in words is "one hundred seventy-two billion, fifty-two million, three hundred eighty-eight thousand, seven hundred sixty-eight".