216918748800 has 1152 divisors, whose sum is σ = 892195864560. Its totient is φ = 49710366720.

The previous prime is 216918748777. The next prime is 216918748829. The reversal of 216918748800 is 8847819612.

216918748800 is a `hidden beast` number, since 21 + 69 + 1 + 87 + 488 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 28653009984 + 188265738816 = 169272^2 + 433896^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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, 1101110302 + ... + 1101110498.

Almost surely, 2^216918748800 is an apocalyptic number.

216918748800 is a gapful number since it is divisible by the number (20) 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 216918748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446097932280).

216918748800 is an abundant number, since it is smaller than the sum of its proper divisors (675277115760).

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

216918748800 is a wasteful number, since it uses less digits than its factorization.

216918748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 216918748800 in words is "two hundred sixteen billion, nine hundred eighteen million, seven hundred forty-eight thousand, eight hundred".