172816680960 has 1440 divisors, whose sum is σ = 772992642240. Its totient is φ = 35404185600.

The previous prime is 172816680931. The next prime is 172816680979. The reversal of 172816680960 is 69086618271.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 172816680897 and 172816680906.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 2434037725 + ... + 2434037795.

It is an arithmetic number, because the mean of its divisors is an integer number (536800446).

Almost surely, 2^172816680960 is an apocalyptic number.

172816680960 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 172816680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386496321120).

172816680960 is an abundant number, since it is smaller than the sum of its proper divisors (600175961280).

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

172816680960 is an equidigital number, since it uses as much as digits as its factorization.

172816680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

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

It can be divided in two parts, 172816 and 680960, that added together give a square (853776 = 924²).

The spelling of 172816680960 in words is "one hundred seventy-two billion, eight hundred sixteen million, six hundred eighty thousand, nine hundred sixty".