172224518225760 has 3456 divisors, whose sum is σ = 858945730301568. Its totient is φ = 30779965440000.

The previous prime is 172224518225701. The next prime is 172224518225821. The reversal of 172224518225760 is 67522815422271.

172224518225760 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 2 + 45 + 1 + 8 + 22 + 576 + 0 = 666.

It is a super-2 number, since 2×172224518225760² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 172224518225697 and 172224518225706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17324662390 + ... + 17324672330.

It is an arithmetic number, because the mean of its divisors is an integer number (248537537703).

Almost surely, 2^{172224518225760} is an apocalyptic number.

172224518225760 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 172224518225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429472865150784).

172224518225760 is an abundant number, since it is smaller than the sum of its proper divisors (686721212075808).

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

172224518225760 is a wasteful number, since it uses less digits than its factorization.

172224518225760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 172224518225760 in words is "one hundred seventy-two trillion, two hundred twenty-four billion, five hundred eighteen million, two hundred twenty-five thousand, seven hundred sixty".