215255643600 has 960 divisors, whose sum is σ = 786685363200. Its totient is φ = 50071633920.

The previous prime is 215255643541. The next prime is 215255643653. The reversal of 215255643600 is 6346552512.

215255643600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1904917144 + ... + 1904917256.

It is an arithmetic number, because the mean of its divisors is an integer number (819463920).

Almost surely, 2^215255643600 is an apocalyptic number.

215255643600 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 215255643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393342681600).

215255643600 is an abundant number, since it is smaller than the sum of its proper divisors (571429719600).

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

215255643600 is a wasteful number, since it uses less digits than its factorization.

215255643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 215255643600 in words is "two hundred fifteen billion, two hundred fifty-five million, six hundred forty-three thousand, six hundred".