172290741864480 has 288 divisors, whose sum is σ = 624528711451008. Its totient is φ = 43102555545600.

The previous prime is 172290741864473. The next prime is 172290741864509. The reversal of 172290741864480 is 84468147092271.

172290741864480 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 9 + 0 + 7 + 4 + 186 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701866 + ... + 18928425.

It is an arithmetic number, because the mean of its divisors is an integer number (2168502470316).

Almost surely, 2^{172290741864480} is an apocalyptic number.

172290741864480 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 172290741864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312264355725504).

172290741864480 is an abundant number, since it is smaller than the sum of its proper divisors (452237969586528).

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

172290741864480 is a wasteful number, since it uses less digits than its factorization.

172290741864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22630640 (or 22630629 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 172290741864480 in words is "one hundred seventy-two trillion, two hundred ninety billion, seven hundred forty-one million, eight hundred sixty-four thousand, four hundred eighty".