216366538752 has 1008 divisors, whose sum is σ = 832110656832. Its totient is φ = 53508833280.

The previous prime is 216366538733. The next prime is 216366538771. The reversal of 216366538752 is 257835663612.

216366538752 is a `hidden beast` number, since 2 + 1 + 6 + 36 + 6 + 538 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (216366538733) and next prime (216366538771).

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

It is a super-3 number, since 3×216366538752³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 798400377 + ... + 798400647.

It is an arithmetic number, because the mean of its divisors is an integer number (825506604).

Almost surely, 2^216366538752 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 216366538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416055328416).

216366538752 is an abundant number, since it is smaller than the sum of its proper divisors (615744118080).

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

216366538752 is a wasteful number, since it uses less digits than its factorization.

216366538752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 313 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 216366538752 in words is "two hundred sixteen billion, three hundred sixty-six million, five hundred thirty-eight thousand, seven hundred fifty-two".