172875899539984 has 135 divisors (see below), whose sum is σ = 356892825413709. Its totient is φ = 81110892602880.

The previous prime is 172875899539969. The next prime is 172875899540063. The reversal of 172875899539984 is 489935998578271.

It is a happy number.

The square root of 172875899539984 is 13148228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3046211715600 + 169829687824384 = 1745340^2 + 13031872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 172875899539892 and 172875899539901.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112916981299 + ... + 112916982829.

Almost surely, 2^{172875899539984} is an apocalyptic number.

172875899539984 is the 13148228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172875899539984

172875899539984 is an abundant number, since it is smaller than the sum of its proper divisors (184016925873725).

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

172875899539984 is an frugal number, since it uses more digits than its factorization.

172875899539984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 1665 counting only the distinct ones).

The product of its digits is 98761420800, while the sum is 94.

The spelling of 172875899539984 in words is "one hundred seventy-two trillion, eight hundred seventy-five billion, eight hundred ninety-nine million, five hundred thirty-nine thousand, nine hundred eighty-four".