172828710063360 has 1728 divisors, whose sum is σ = 692606994293760. Its totient is φ = 41068196757504.

The previous prime is 172828710063283. The next prime is 172828710063379. The reversal of 172828710063360 is 63360017828271.

It is a happy number.

172828710063360 is a `hidden beast` number, since 1 + 7 + 28 + 287 + 1 + 0 + 0 + 6 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 172828710063297 and 172828710063306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30605400057 + ... + 30605405703.

Almost surely, 2^{172828710063360} is an apocalyptic number.

172828710063360 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 172828710063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346303497146880).

172828710063360 is an abundant number, since it is smaller than the sum of its proper divisors (519778284230400).

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

172828710063360 is an frugal number, since it uses more digits than its factorization.

172828710063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 172828710063360 in words is "one hundred seventy-two trillion, eight hundred twenty-eight billion, seven hundred ten million, sixty-three thousand, three hundred sixty".