173930742720000 has 6000 divisors, whose sum is σ = 820567164054528. Its totient is φ = 35871621120000.

The previous prime is 173930742719963. The next prime is 173930742720001. The reversal of 173930742720000 is 27247039371.

173930742720000 is a `hidden beast` number, since 1 + 73 + 9 + 307 + 4 + 272 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6000).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173930742720001) by changing a digit.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 1625520959947 + ... + 1625520960053.

Almost surely, 2^{173930742720000} is an apocalyptic number.

173930742720000 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 173930742720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410283582027264).

173930742720000 is an abundant number, since it is smaller than the sum of its proper divisors (646636421334528).

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

173930742720000 is an equidigital number, since it uses as much as digits as its factorization.

173930742720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

Adding to 173930742720000 its reverse (27247039371), we get a palindrome (173957989759371).

The spelling of 173930742720000 in words is "one hundred seventy-three trillion, nine hundred thirty billion, seven hundred forty-two million, seven hundred twenty thousand".