214126635120 has 80 divisors (see below), whose sum is σ = 663986609280. Its totient is φ = 57083744512.

The previous prime is 214126635113. The next prime is 214126635167. The reversal of 214126635120 is 21536621412.

It is a tau number, because it is divible by the number of its divisors (80).

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, 703411 + ... + 960749.

It is an arithmetic number, because the mean of its divisors is an integer number (8299832616).

Almost surely, 2^214126635120 is an apocalyptic number.

214126635120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214126635120 is an abundant number, since it is smaller than the sum of its proper divisors (449859974160).

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

214126635120 is a wasteful number, since it uses less digits than its factorization.

214126635120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260822 (or 260816 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 214126635120 in words is "two hundred fourteen billion, one hundred twenty-six million, six hundred thirty-five thousand, one hundred twenty".