217451725008 has 320 divisors, whose sum is σ = 690787215360. Its totient is φ = 57560315904.

The previous prime is 217451724991. The next prime is 217451725033. The reversal of 217451725008 is 800527154712.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126204435 + ... + 126206157.

It is an arithmetic number, because the mean of its divisors is an integer number (2158710048).

Almost surely, 2^217451725008 is an apocalyptic number.

217451725008 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 217451725008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345393607680).

217451725008 is an abundant number, since it is smaller than the sum of its proper divisors (473335490352).

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

217451725008 is a wasteful number, since it uses less digits than its factorization.

217451725008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 217451725008 in words is "two hundred seventeen billion, four hundred fifty-one million, seven hundred twenty-five thousand, eight".