214110520000 has 140 divisors (see below), whose sum is σ = 571766238736. Its totient is φ = 79056000000.

The previous prime is 214110519949. The next prime is 214110520009. The reversal of 214110520000 is 25011412.

214110520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (214110520009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 314125 + ... + 725875.

Almost surely, 2^214110520000 is an apocalyptic number.

214110520000 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 214110520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285883119368).

214110520000 is an abundant number, since it is smaller than the sum of its proper divisors (357655718736).

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

214110520000 is an equidigital number, since it uses as much as digits as its factorization.

214110520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411796 (or 411771 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 214110520000 its reverse (25011412), we get a palindrome (214135531412).

The spelling of 214110520000 in words is "two hundred fourteen billion, one hundred ten million, five hundred twenty thousand".