172140924800 has 192 divisors, whose sum is σ = 458683767360. Its totient is φ = 63458304000.

The previous prime is 172140924793. The next prime is 172140924883. The reversal of 172140924800 is 8429041271.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 29158649 + ... + 29164551.

It is an arithmetic number, because the mean of its divisors is an integer number (2388977955).

Almost surely, 2^172140924800 is an apocalyptic number.

172140924800 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 172140924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229341883680).

172140924800 is an abundant number, since it is smaller than the sum of its proper divisors (286542842560).

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

172140924800 is a wasteful number, since it uses less digits than its factorization.

172140924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 172140924800 in words is "one hundred seventy-two billion, one hundred forty million, nine hundred twenty-four thousand, eight hundred".