172214910000 has 750 divisors, whose sum is σ = 724707378780. Its totient is φ = 39354336000.

The previous prime is 172214909941. The next prime is 172214910013. The reversal of 172214910000 is 19412271.

172214910000 is a `hidden beast` number, since 172 + 2 + 1 + 491 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 39687831 + ... + 39692169.

Almost surely, 2^172214910000 is an apocalyptic number.

172214910000 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 172214910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362353689390).

172214910000 is an abundant number, since it is smaller than the sum of its proper divisors (552492468780).

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

172214910000 is an equidigital number, since it uses as much as digits as its factorization.

172214910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 172214910000 in words is "one hundred seventy-two billion, two hundred fourteen million, nine hundred ten thousand".