216919875200 has 192 divisors, whose sum is σ = 614756545920. Its totient is φ = 74087731200.

The previous prime is 216919875191. The next prime is 216919875209. The reversal of 216919875200 is 2578919612.

It is an interprime number because it is at equal distance from previous prime (216919875191) and next prime (216919875209).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (216919875209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5872790 + ... + 5909610.

It is an arithmetic number, because the mean of its divisors is an integer number (3201857010).

Almost surely, 2^216919875200 is an apocalyptic number.

216919875200 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 216919875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307378272960).

216919875200 is an abundant number, since it is smaller than the sum of its proper divisors (397836670720).

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

216919875200 is a wasteful number, since it uses less digits than its factorization.

216919875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37115 (or 37098 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The spelling of 216919875200 in words is "two hundred sixteen billion, nine hundred nineteen million, eight hundred seventy-five thousand, two hundred".