212517039168 has 1008 divisors, whose sum is σ = 782634466224. Its totient is φ = 54747463680.

The previous prime is 212517039143. The next prime is 212517039173. The reversal of 212517039168 is 861930715212.

212517039168 is a `hidden beast` number, since 2 + 1 + 251 + 7 + 0 + 391 + 6 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3415104 + 212513624064 = 1848^2 + 460992^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×212517039168² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1551219196 + ... + 1551219332.

Almost surely, 2^212517039168 is an apocalyptic number.

212517039168 is a gapful number since it is divisible by the number (28) 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 212517039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391317233112).

212517039168 is an abundant number, since it is smaller than the sum of its proper divisors (570117427056).

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

212517039168 is a wasteful number, since it uses less digits than its factorization.

212517039168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 212517039168 in words is "two hundred twelve billion, five hundred seventeen million, thirty-nine thousand, one hundred sixty-eight".