276132233223600 has 240 divisors, whose sum is σ = 953610839479200. Its totient is φ = 67897841909760.

The previous prime is 276132233223563. The next prime is 276132233223611. The reversal of 276132233223600 is 6322332231672.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4965606 + ... + 24019194.

It is an arithmetic number, because the mean of its divisors is an integer number (3973378497830).

Almost surely, 2^{276132233223600} is an apocalyptic number.

276132233223600 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 276132233223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476805419739600).

276132233223600 is an abundant number, since it is smaller than the sum of its proper divisors (677478606255600).

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

276132233223600 is a wasteful number, since it uses less digits than its factorization.

276132233223600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19054552 (or 19054541 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 42.

The spelling of 276132233223600 in words is "two hundred seventy-six trillion, one hundred thirty-two billion, two hundred thirty-three million, two hundred twenty-three thousand, six hundred".