172441198080 has 480 divisors, whose sum is σ = 634530824928. Its totient is φ = 44856115200.

The previous prime is 172441198057. The next prime is 172441198081. The reversal of 172441198080 is 80891144271.

172441198080 is a `hidden beast` number, since 1 + 72 + 4 + 411 + 98 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (172441198081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25501900 + ... + 25508660.

Almost surely, 2^172441198080 is an apocalyptic number.

172441198080 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 172441198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317265412464).

172441198080 is an abundant number, since it is smaller than the sum of its proper divisors (462089626848).

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

172441198080 is an frugal number, since it uses more digits than its factorization.

172441198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 172441198080 in words is "one hundred seventy-two billion, four hundred forty-one million, one hundred ninety-eight thousand, eighty".