214992809760 has 192 divisors, whose sum is σ = 732138825600. Its totient is φ = 52845944832.

The previous prime is 214992809749. The next prime is 214992809761. The reversal of 214992809760 is 67908299412.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 214992809760.

It is not an unprimeable number, because it can be changed into a prime (214992809761) 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 31 ways as a sum of consecutive naturals, for example, 18876 + ... + 656004.

It is an arithmetic number, because the mean of its divisors is an integer number (3813223050).

Almost surely, 2^214992809760 is an apocalyptic number.

214992809760 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 214992809760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366069412800).

214992809760 is an abundant number, since it is smaller than the sum of its proper divisors (517146015840).

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

214992809760 is a wasteful number, since it uses less digits than its factorization.

214992809760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637203 (or 637195 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 214992809760 in words is "two hundred fourteen billion, nine hundred ninety-two million, eight hundred nine thousand, seven hundred sixty".