214271860000 has 240 divisors, whose sum is σ = 579666447360. Its totient is φ = 77293440000.

The previous prime is 214271859899. The next prime is 214271860001. The reversal of 214271860000 is 68172412.

It is not an unprimeable number, because it can be changed into a prime (214271860001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 27936166 + ... + 27943834.

It is an arithmetic number, because the mean of its divisors is an integer number (2415276864).

Almost surely, 2^214271860000 is an apocalyptic number.

214271860000 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 214271860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289833223680).

214271860000 is an abundant number, since it is smaller than the sum of its proper divisors (365394587360).

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

214271860000 is a wasteful number, since it uses less digits than its factorization.

214271860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837 (or 7814 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 214271860000 in words is "two hundred fourteen billion, two hundred seventy-one million, eight hundred sixty thousand".