172223976960 has 1920 divisors, whose sum is σ = 776236032000. Its totient is φ = 35115171840.

The previous prime is 172223976943. The next prime is 172223976961. The reversal of 172223976960 is 69679322271.

172223976960 is a `hidden beast` number, since 172 + 22 + 397 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×172223976960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 172223976897 and 172223976906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172223976961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4654702062 + ... + 4654702098.

It is an arithmetic number, because the mean of its divisors is an integer number (404289600).

Almost surely, 2^172223976960 is an apocalyptic number.

172223976960 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 172223976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388118016000).

172223976960 is an abundant number, since it is smaller than the sum of its proper divisors (604012055040).

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

172223976960 is a wasteful number, since it uses less digits than its factorization.

172223976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 172223976960 in words is "one hundred seventy-two billion, two hundred twenty-three million, nine hundred seventy-six thousand, nine hundred sixty".