172163916288 has 1200 divisors, whose sum is σ = 679598377920. Its totient is φ = 43016085504.

The previous prime is 172163916283. The next prime is 172163916313. The reversal of 172163916288 is 882619361271.

172163916288 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 6 + 3 + 9 + 1 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172163916283) 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, 9061258743 + ... + 9061258761.

Almost surely, 2^172163916288 is an apocalyptic number.

172163916288 is a gapful number since it is divisible by the number (18) 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 172163916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339799188960).

172163916288 is an abundant number, since it is smaller than the sum of its proper divisors (507434461632).

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

172163916288 is an frugal number, since it uses more digits than its factorization.

172163916288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 44 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 172163916288 in words is "one hundred seventy-two billion, one hundred sixty-three million, nine hundred sixteen thousand, two hundred eighty-eight".