216512503200 has 1152 divisors, whose sum is σ = 956278794240. Its totient is φ = 46150041600.

The previous prime is 216512503169. The next prime is 216512503243. The reversal of 216512503200 is 2305215612.

It is a happy number.

216512503200 is a `hidden beast` number, since 2 + 1 + 651 + 2 + 5 + 0 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336722079 + ... + 336722721.

It is an arithmetic number, because the mean of its divisors is an integer number (830103120).

Almost surely, 2^216512503200 is an apocalyptic number.

216512503200 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 216512503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478139397120).

216512503200 is an abundant number, since it is smaller than the sum of its proper divisors (739766291040).

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

216512503200 is a wasteful number, since it uses less digits than its factorization.

216512503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 216512503200 its reverse (2305215612), we get a palindrome (218817718812).

The spelling of 216512503200 in words is "two hundred sixteen billion, five hundred twelve million, five hundred three thousand, two hundred".