172438088320 has 64 divisors (see below), whose sum is σ = 436483938600. Its totient is φ = 64917864448.

The previous prime is 172438088293. The next prime is 172438088323. The reversal of 172438088320 is 23880834271.

It can be written as a sum of positive squares in 4 ways, for example, as 130864509504 + 41573578816 = 361752^2 + 203896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×172438088320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172438088323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7913665 + ... + 7935424.

Almost surely, 2^172438088320 is an apocalyptic number.

172438088320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172438088320 is an abundant number, since it is smaller than the sum of its proper divisors (264045850280).

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

172438088320 is a wasteful number, since it uses less digits than its factorization.

172438088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15849125 (or 15849113 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 172438088320 in words is "one hundred seventy-two billion, four hundred thirty-eight million, eighty-eight thousand, three hundred twenty".