172838160000 has 960 divisors, whose sum is σ = 687228141600. Its totient is φ = 41333760000.

The previous prime is 172838159953. The next prime is 172838160043. The reversal of 172838160000 is 61838271.

172838160000 is a `hidden beast` number, since 17 + 2 + 8 + 38 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1100879922 + ... + 1100880078.

Almost surely, 2^172838160000 is an apocalyptic number.

172838160000 is a gapful number since it is divisible by the number (10) 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 172838160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343614070800).

172838160000 is an abundant number, since it is smaller than the sum of its proper divisors (514389981600).

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

172838160000 is a wasteful number, since it uses less digits than its factorization.

172838160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 172838160000 its reverse (61838271), we get a palindrome (172899998271).

The spelling of 172838160000 in words is "one hundred seventy-two billion, eight hundred thirty-eight million, one hundred sixty thousand".