216368435200 has 78 divisors (see below), whose sum is σ = 536528471054. Its totient is φ = 86547333120.

The previous prime is 216368435197. The next prime is 216368435203. The reversal of 216368435200 is 2534863612.

It is an interprime number because it is at equal distance from previous prime (216368435197) and next prime (216368435203).

It can be written as a sum of positive squares in 3 ways, for example, as 71944114176 + 144424321024 = 268224^2 + 380032^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216368435203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 954087 + ... + 1158886.

Almost surely, 2^216368435200 is an apocalyptic number.

216368435200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216368435200 is an abundant number, since it is smaller than the sum of its proper divisors (320160035854).

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

216368435200 is an equidigital number, since it uses as much as digits as its factorization.

216368435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113007 (or 2112980 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 216368435200 in words is "two hundred sixteen billion, three hundred sixty-eight million, four hundred thirty-five thousand, two hundred".