172152044256 has 96 divisors (see below), whose sum is σ = 454714041600. Its totient is φ = 57026984960.

The previous prime is 172152044243. The next prime is 172152044257. The reversal of 172152044256 is 652440251271.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172152044257) 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 15 ways as a sum of consecutive naturals, for example, 46893301 + ... + 46896971.

It is an arithmetic number, because the mean of its divisors is an integer number (4736604600).

Almost surely, 2^172152044256 is an apocalyptic number.

172152044256 is a gapful number since it is divisible by the number (16) 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 172152044256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227357020800).

172152044256 is an abundant number, since it is smaller than the sum of its proper divisors (282561997344).

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

172152044256 is a wasteful number, since it uses less digits than its factorization.

172152044256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 172152044256 in words is "one hundred seventy-two billion, one hundred fifty-two million, forty-four thousand, two hundred fifty-six".