276133384800 has 2304 divisors, whose sum is σ = 1301916672000. Its totient is φ = 56086732800.

The previous prime is 276133384733. The next prime is 276133384823. The reversal of 276133384800 is 8483331672.

276133384800 is a `hidden beast` number, since 2 + 7 + 6 + 133 + 38 + 480 + 0 = 666.

It is a super-2 number, since 2×276133384800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4526776770 + ... + 4526776830.

It is an arithmetic number, because the mean of its divisors is an integer number (565068000).

Almost surely, 2^276133384800 is an apocalyptic number.

276133384800 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 276133384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650958336000).

276133384800 is an abundant number, since it is smaller than the sum of its proper divisors (1025783287200).

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

276133384800 is a wasteful number, since it uses less digits than its factorization.

276133384800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 276133384800 in words is "two hundred seventy-six billion, one hundred thirty-three million, three hundred eighty-four thousand, eight hundred".