214320986880 has 864 divisors, whose sum is σ = 924297454080. Its totient is φ = 41098936320.

The previous prime is 214320986837. The next prime is 214320986881. The reversal of 214320986880 is 88689023412.

It is not an unprimeable number, because it can be changed into a prime (214320986881) 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 95 ways as a sum of consecutive naturals, for example, 49967776 + ... + 49972064.

It is an arithmetic number, because the mean of its divisors is an integer number (1069788720).

Almost surely, 2^214320986880 is an apocalyptic number.

214320986880 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 214320986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462148727040).

214320986880 is an abundant number, since it is smaller than the sum of its proper divisors (709976467200).

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

214320986880 is a wasteful number, since it uses less digits than its factorization.

214320986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 214320986880 in words is "two hundred fourteen billion, three hundred twenty million, nine hundred eighty-six thousand, eight hundred eighty".