172112823840 has 384 divisors, whose sum is σ = 570621542400. Its totient is φ = 43548323840.

The previous prime is 172112823821. The next prime is 172112823889. The reversal of 172112823840 is 48328211271.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 359316721 + ... + 359317199.

It is an arithmetic number, because the mean of its divisors is an integer number (1485993600).

Almost surely, 2^172112823840 is an apocalyptic number.

172112823840 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 172112823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285310771200).

172112823840 is an abundant number, since it is smaller than the sum of its proper divisors (398508718560).

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

172112823840 is a wasteful number, since it uses less digits than its factorization.

172112823840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 172112823840 in words is "one hundred seventy-two billion, one hundred twelve million, eight hundred twenty-three thousand, eight hundred forty".