172430526506040 has 512 divisors, whose sum is σ = 636416580096000. Its totient is φ = 41179274150400.

The previous prime is 172430526506027. The next prime is 172430526506047. The reversal of 172430526506040 is 40605625034271.

172430526506040 is a `hidden beast` number, since 1 + 7 + 2 + 4 + 30 + 5 + 2 + 6 + 5 + 0 + 604 + 0 = 666.

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 (172430526506047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227158735 + ... + 227916545.

It is an arithmetic number, because the mean of its divisors is an integer number (1243001133000).

Almost surely, 2^{172430526506040} is an apocalyptic number.

172430526506040 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 172430526506040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318208290048000).

172430526506040 is an abundant number, since it is smaller than the sum of its proper divisors (463986053589960).

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

172430526506040 is a wasteful number, since it uses less digits than its factorization.

172430526506040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758128 (or 758118 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 172430526506040 in words is "one hundred seventy-two trillion, four hundred thirty billion, five hundred twenty-six million, five hundred six thousand, forty".