172286992908800 has 960 divisors, whose sum is σ = 538678783779840. Its totient is φ = 53048107008000.

The previous prime is 172286992908769. The next prime is 172286992908803. The reversal of 172286992908800 is 8809299682271.

It is not an unprimeable number, because it can be changed into a prime (172286992908803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29567011487 + ... + 29567017313.

It is an arithmetic number, because the mean of its divisors is an integer number (561123733104).

Almost surely, 2^{172286992908800} is an apocalyptic number.

172286992908800 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 172286992908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269339391889920).

172286992908800 is an abundant number, since it is smaller than the sum of its proper divisors (366391790871040).

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

172286992908800 is a wasteful number, since it uses less digits than its factorization.

172286992908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 71.

The spelling of 172286992908800 in words is "one hundred seventy-two trillion, two hundred eighty-six billion, nine hundred ninety-two million, nine hundred eight thousand, eight hundred".