216852787200 has 624 divisors, whose sum is σ = 846089148416. Its totient is φ = 47952691200.

The previous prime is 216852787163. The next prime is 216852787223. The reversal of 216852787200 is 2787258612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 216852787200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66660774 + ... + 66664026.

Almost surely, 2^216852787200 is an apocalyptic number.

216852787200 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 216852787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423044574208).

216852787200 is an abundant number, since it is smaller than the sum of its proper divisors (629236361216).

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

216852787200 is a wasteful number, since it uses less digits than its factorization.

216852787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 216852787200 in words is "two hundred sixteen billion, eight hundred fifty-two million, seven hundred eighty-seven thousand, two hundred".