216181289293200 has 2160 divisors, whose sum is σ = 985619244759552. Its totient is φ = 43344322560000.

The previous prime is 216181289293199. The next prime is 216181289293303. The reversal of 216181289293200 is 2392982181612.

216181289293200 is a `hidden beast` number, since 2 + 1 + 6 + 18 + 1 + 289 + 29 + 320 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 21233792110 + ... + 21233802290.

Almost surely, 2^{216181289293200} is an apocalyptic number.

216181289293200 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 216181289293200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492809622379776).

216181289293200 is an abundant number, since it is smaller than the sum of its proper divisors (769437955466352).

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

216181289293200 is a wasteful number, since it uses less digits than its factorization.

216181289293200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614 (or 10593 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 216181289293200 in words is "two hundred sixteen trillion, one hundred eighty-one billion, two hundred eighty-nine million, two hundred ninety-three thousand, two hundred".