172332063205120 has 576 divisors, whose sum is σ = 514596053873664. Its totient is φ = 53841199104000.

The previous prime is 172332063205051. The next prime is 172332063205147. The reversal of 172332063205120 is 21502360233271.

It is a self number, because there is not a number n which added to its sum of digits gives 172332063205120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3303696159 + ... + 3303748321.

It is an arithmetic number, because the mean of its divisors is an integer number (893395926864).

Almost surely, 2^{172332063205120} is an apocalyptic number.

172332063205120 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 172332063205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257298026936832).

172332063205120 is an abundant number, since it is smaller than the sum of its proper divisors (342263990668544).

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

172332063205120 is a wasteful number, since it uses less digits than its factorization.

172332063205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52568 (or 52554 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 172332063205120 in words is "one hundred seventy-two trillion, three hundred thirty-two billion, sixty-three million, two hundred five thousand, one hundred twenty".