172216872960 has 832 divisors, whose sum is σ = 632516097024. Its totient is φ = 39636172800.

The previous prime is 172216872931. The next prime is 172216872973. The reversal of 172216872960 is 69278612271.

It is a happy number.

It is a congruent number.

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, 1775431632 + ... + 1775431728.

Almost surely, 2^172216872960 is an apocalyptic number.

172216872960 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 172216872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316258048512).

172216872960 is an abundant number, since it is smaller than the sum of its proper divisors (460299224064).

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

172216872960 is a wasteful number, since it uses less digits than its factorization.

172216872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 172216872960 in words is "one hundred seventy-two billion, two hundred sixteen million, eight hundred seventy-two thousand, nine hundred sixty".