172162110960 has 400 divisors, whose sum is σ = 684092376000. Its totient is φ = 39309484032.

The previous prime is 172162110947. The next prime is 172162110961. The reversal of 172162110960 is 69011261271.

172162110960 is a `hidden beast` number, since 1 + 7 + 21 + 621 + 1 + 0 + 9 + 6 + 0 = 666.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172162110961) 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 79 ways as a sum of consecutive naturals, for example, 67539766 + ... + 67542314.

It is an arithmetic number, because the mean of its divisors is an integer number (1710230940).

Almost surely, 2^172162110960 is an apocalyptic number.

172162110960 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 172162110960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342046188000).

172162110960 is an abundant number, since it is smaller than the sum of its proper divisors (511930265040).

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

172162110960 is a wasteful number, since it uses less digits than its factorization.

172162110960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 172162110960 in words is "one hundred seventy-two billion, one hundred sixty-two million, one hundred ten thousand, nine hundred sixty".