214320533520 has 80 divisors (see below), whose sum is σ = 699361755840. Its totient is φ = 54144133632.

The previous prime is 214320533477. The next prime is 214320533563. The reversal of 214320533520 is 25335023412.

214320533520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214320533477) and next prime (214320533563).

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

It is a super-3 number, since 3×214320533520³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

214320533520 is a modest number, since divided by 533520 gives 214320 as remainder.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23495499 + ... + 23504618.

It is an arithmetic number, because the mean of its divisors is an integer number (8742021948).

Almost surely, 2^214320533520 is an apocalyptic number.

214320533520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214320533520 is an abundant number, since it is smaller than the sum of its proper divisors (485041222320).

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

214320533520 is a wasteful number, since it uses less digits than its factorization.

214320533520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47000152 (or 47000146 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 214320533520 its reverse (25335023412), we get a palindrome (239655556932).

The spelling of 214320533520 in words is "two hundred fourteen billion, three hundred twenty million, five hundred thirty-three thousand, five hundred twenty".