172243968000 has 896 divisors, whose sum is σ = 652635809280. Its totient is φ = 39990067200.

The previous prime is 172243967999. The next prime is 172243968007. The reversal of 172243968000 is 869342271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172243968007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758783887 + ... + 758784113.

It is an arithmetic number, because the mean of its divisors is an integer number (728388180).

Almost surely, 2^172243968000 is an apocalyptic number.

172243968000 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 172243968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326317904640).

172243968000 is an abundant number, since it is smaller than the sum of its proper divisors (480391841280).

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

172243968000 is a wasteful number, since it uses less digits than its factorization.

172243968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 172243968000 in words is "one hundred seventy-two billion, two hundred forty-three million, nine hundred sixty-eight thousand".