214085955200 has 288 divisors, whose sum is σ = 580034750400. Its totient is φ = 78030950400.

The previous prime is 214085955199. The next prime is 214085955221. The reversal of 214085955200 is 2559580412.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42720695 + ... + 42725705.

It is an arithmetic number, because the mean of its divisors is an integer number (2014009550).

Almost surely, 2^214085955200 is an apocalyptic number.

214085955200 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 214085955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290017375200).

214085955200 is an abundant number, since it is smaller than the sum of its proper divisors (365948795200).

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

214085955200 is a wasteful number, since it uses less digits than its factorization.

214085955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The spelling of 214085955200 in words is "two hundred fourteen billion, eighty-five million, nine hundred fifty-five thousand, two hundred".