216125860608 has 288 divisors, whose sum is σ = 732366835200. Its totient is φ = 61586141184.

The previous prime is 216125860603. The next prime is 216125860651. The reversal of 216125860608 is 806068521612.

216125860608 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 2 + 586 + 0 + 60 + 8 = 666.

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

It is a super-2 number, since 2×216125860608² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216125860603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18815635 + ... + 18827117.

It is an arithmetic number, because the mean of its divisors is an integer number (2542940400).

Almost surely, 2^216125860608 is an apocalyptic number.

216125860608 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 216125860608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366183417600).

216125860608 is an abundant number, since it is smaller than the sum of its proper divisors (516240974592).

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

216125860608 is a wasteful number, since it uses less digits than its factorization.

216125860608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11904 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 216125860608 in words is "two hundred sixteen billion, one hundred twenty-five million, eight hundred sixty thousand, six hundred eight".