172716485760 has 2304 divisors, whose sum is σ = 827336851200. Its totient is φ = 33814609920.

The previous prime is 172716485759. The next prime is 172716485779. The reversal of 172716485760 is 67584617271.

172716485760 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 1 + 64 + 8 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 172716485697 and 172716485706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2432626525 + ... + 2432626595.

It is an arithmetic number, because the mean of its divisors is an integer number (359087175).

Almost surely, 2^172716485760 is an apocalyptic number.

172716485760 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 172716485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413668425600).

172716485760 is an abundant number, since it is smaller than the sum of its proper divisors (654620365440).

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

172716485760 is a wasteful number, since it uses less digits than its factorization.

172716485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 172716485760 in words is "one hundred seventy-two billion, seven hundred sixteen million, four hundred eighty-five thousand, seven hundred sixty".