172579203342 has 288 divisors, whose sum is σ = 494915067360. Its totient is φ = 44400545280.

The previous prime is 172579203257. The next prime is 172579203343. The reversal of 172579203342 is 243302975271.

172579203342 is a `hidden beast` number, since 1 + 7 + 2 + 579 + 2 + 0 + 33 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172579203343) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18329428 + ... + 18338840.

It is an arithmetic number, because the mean of its divisors is an integer number (1718455095).

Almost surely, 2^172579203342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172579203342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247457533680).

172579203342 is an abundant number, since it is smaller than the sum of its proper divisors (322335864018).

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

172579203342 is a wasteful number, since it uses less digits than its factorization.

172579203342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9505 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 172579203342 in words is "one hundred seventy-two billion, five hundred seventy-nine million, two hundred three thousand, three hundred forty-two".