172085290128 has 80 divisors (see below), whose sum is σ = 515424570240. Its totient is φ = 54867770496.

The previous prime is 172085290103. The next prime is 172085290129. The reversal of 172085290128 is 821092580271.

It is a super-2 number, since 2×172085290128² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172085290129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8649751 + ... + 8669622.

It is an arithmetic number, because the mean of its divisors is an integer number (6442807128).

Almost surely, 2^172085290128 is an apocalyptic number.

172085290128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

172085290128 is an abundant number, since it is smaller than the sum of its proper divisors (343339280112).

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

172085290128 is a wasteful number, since it uses less digits than its factorization.

172085290128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17319413 (or 17319401 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 172085290128 in words is "one hundred seventy-two billion, eighty-five million, two hundred ninety thousand, one hundred twenty-eight".