172065893220 has 576 divisors, whose sum is σ = 596069591040. Its totient is φ = 41175433728.

The previous prime is 172065893143. The next prime is 172065893221. The reversal of 172065893220 is 22398560271.

172065893220 is a `hidden beast` number, since 17 + 2 + 0 + 6 + 589 + 32 + 20 = 666.

172065893220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (172065893221) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 654242809 + ... + 654243071.

It is an arithmetic number, because the mean of its divisors is an integer number (1034843040).

Almost surely, 2^172065893220 is an apocalyptic number.

172065893220 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 172065893220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298034795520).

172065893220 is an abundant number, since it is smaller than the sum of its proper divisors (424003697820).

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

172065893220 is a wasteful number, since it uses less digits than its factorization.

172065893220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 172065893220 in words is "one hundred seventy-two billion, sixty-five million, eight hundred ninety-three thousand, two hundred twenty".