276681120800 has 144 divisors (see below), whose sum is σ = 772211325312. Its totient is φ = 94828800000.

The previous prime is 276681120797. The next prime is 276681120817. The reversal of 276681120800 is 8021186672.

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 23 ways as a sum of consecutive naturals, for example, 20113925 + ... + 20127675.

It is an arithmetic number, because the mean of its divisors is an integer number (5362578648).

Almost surely, 2^276681120800 is an apocalyptic number.

276681120800 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 276681120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386105662656).

276681120800 is an abundant number, since it is smaller than the sum of its proper divisors (495530204512).

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

276681120800 is a wasteful number, since it uses less digits than its factorization.

276681120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371 (or 17358 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 276681120800 in words is "two hundred seventy-six billion, six hundred eighty-one million, one hundred twenty thousand, eight hundred".