216570673152 has 288 divisors, whose sum is σ = 654969369600. Its totient is φ = 68810784768.

The previous prime is 216570673127. The next prime is 216570673213. The reversal of 216570673152 is 251376075612.

It is a happy number.

216570673152 is a `hidden beast` number, since 2 + 1 + 6 + 570 + 6 + 73 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 216570673098 and 216570673107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152192313 + ... + 152193735.

It is an arithmetic number, because the mean of its divisors is an integer number (2274199200).

Almost surely, 2^216570673152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216570673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327484684800).

216570673152 is an abundant number, since it is smaller than the sum of its proper divisors (438398696448).

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

216570673152 is a wasteful number, since it uses less digits than its factorization.

216570673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 216570673152 in words is "two hundred sixteen billion, five hundred seventy million, six hundred seventy-three thousand, one hundred fifty-two".