216953225216 has 256 divisors, whose sum is σ = 551492229120. Its totient is φ = 83023626240.

The previous prime is 216953225207. The next prime is 216953225221. The reversal of 216953225216 is 612522359612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

Its product of digits (388800) is a multiple of the sum of its prime divisors (2400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92437355 + ... + 92439701.

It is an arithmetic number, because the mean of its divisors is an integer number (2154266520).

Almost surely, 2^216953225216 is an apocalyptic number.

216953225216 is a gapful number since it is divisible by the number (26) 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 216953225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275746114560).

216953225216 is an abundant number, since it is smaller than the sum of its proper divisors (334539003904).

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

216953225216 is an equidigital number, since it uses as much as digits as its factorization.

216953225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2400 counting only the distinct ones).

The product of its digits is 388800, while the sum is 44.

The spelling of 216953225216 in words is "two hundred sixteen billion, nine hundred fifty-three million, two hundred twenty-five thousand, two hundred sixteen".