276789414216 has 256 divisors, whose sum is σ = 846878630400. Its totient is φ = 73586589696.

The previous prime is 276789414193. The next prime is 276789414263. The reversal of 276789414216 is 612414987672.

It is a super-2 number, since 2×276789414216² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 228185226 + ... + 228186438.

It is an arithmetic number, because the mean of its divisors is an integer number (3308119650).

Almost surely, 2^276789414216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276789414216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423439315200).

276789414216 is an abundant number, since it is smaller than the sum of its proper divisors (570089216184).

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

276789414216 is a wasteful number, since it uses less digits than its factorization.

276789414216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2084 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The spelling of 276789414216 in words is "two hundred seventy-six billion, seven hundred eighty-nine million, four hundred fourteen thousand, two hundred sixteen".