214505215200 has 144 divisors (see below), whose sum is σ = 775793939760. Its totient is φ = 57201384960.

The previous prime is 214505215181. The next prime is 214505215237. The reversal of 214505215200 is 2512505412.

214505215200 is a `hidden beast` number, since 2 + 1 + 4 + 505 + 2 + 152 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×214505215200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4943799 + ... + 4986998.

It is an arithmetic number, because the mean of its divisors is an integer number (5387457915).

Almost surely, 2^214505215200 is an apocalyptic number.

214505215200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214505215200 is an abundant number, since it is smaller than the sum of its proper divisors (561288724560).

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

214505215200 is a wasteful number, since it uses less digits than its factorization.

214505215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930826 (or 9930807 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 214505215200 in words is "two hundred fourteen billion, five hundred five million, two hundred fifteen thousand, two hundred".