172768644956160 has 3456 divisors, whose sum is σ = 739026834739200. Its totient is φ = 38118673612800.

The previous prime is 172768644956143. The next prime is 172768644956189. The reversal of 172768644956160 is 61659446867271.

172768644956160 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 68 + 6 + 449 + 5 + 61 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1261084999612 + ... + 1261084999748.

It is an arithmetic number, because the mean of its divisors is an integer number (213838783200).

Almost surely, 2^{172768644956160} is an apocalyptic number.

172768644956160 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 172768644956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369513417369600).

172768644956160 is an abundant number, since it is smaller than the sum of its proper divisors (566258189783040).

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

172768644956160 is a wasteful number, since it uses less digits than its factorization.

172768644956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 172768644956160 in words is "one hundred seventy-two trillion, seven hundred sixty-eight billion, six hundred forty-four million, nine hundred fifty-six thousand, one hundred sixty".