216180849866400 has 576 divisors, whose sum is σ = 800156876682240. Its totient is φ = 56299114368000.

The previous prime is 216180849866351. The next prime is 216180849866413. The reversal of 216180849866400 is 4668948081612.

216180849866400 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 8 + 0 + 84 + 98 + 66 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8313675799 + ... + 8313701801.

It is an arithmetic number, because the mean of its divisors is an integer number (1389161244240).

Almost surely, 2^{216180849866400} is an apocalyptic number.

216180849866400 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 216180849866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400078438341120).

216180849866400 is an abundant number, since it is smaller than the sum of its proper divisors (583976026815840).

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

216180849866400 is a wasteful number, since it uses less digits than its factorization.

216180849866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35026 (or 35007 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 216180849866400 in words is "two hundred sixteen trillion, one hundred eighty billion, eight hundred forty-nine million, eight hundred sixty-six thousand, four hundred".