172138895712 has 360 divisors, whose sum is σ = 601460554464. Its totient is φ = 48134435328.

The previous prime is 172138895689. The next prime is 172138895713. The reversal of 172138895712 is 217598831271.

172138895712 is a `hidden beast` number, since 17 + 21 + 38 + 8 + 9 + 571 + 2 = 666.

172138895712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172138895713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5954958 + ... + 5983794.

Almost surely, 2^172138895712 is an apocalyptic number.

172138895712 is a gapful number since it is divisible by the number (12) 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 172138895712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300730277232).

172138895712 is an abundant number, since it is smaller than the sum of its proper divisors (429321658752).

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

172138895712 is a wasteful number, since it uses less digits than its factorization.

172138895712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28920 (or 28896 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 172138895712 in words is "one hundred seventy-two billion, one hundred thirty-eight million, eight hundred ninety-five thousand, seven hundred twelve".