214202880000 has 650 divisors, whose sum is σ = 800375652494. Its totient is φ = 57065472000.

The previous prime is 214202879981. The next prime is 214202880041. The reversal of 214202880000 is 88202412.

It can be written as a sum of positive squares in 5 ways, for example, as 29068886016 + 185133993984 = 170496^2 + 430272^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 49 ways as a sum of consecutive naturals, for example, 207359484 + ... + 207360516.

Almost surely, 2^214202880000 is an apocalyptic number.

214202880000 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 214202880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400187826247).

214202880000 is an abundant number, since it is smaller than the sum of its proper divisors (586172772494).

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

214202880000 is an frugal number, since it uses more digits than its factorization.

214202880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 214202880000 in words is "two hundred fourteen billion, two hundred two million, eight hundred eighty thousand".