276481126828800 has 1080 divisors, whose sum is σ = 1035809701342416. Its totient is φ = 72754389319680.

The previous prime is 276481126828771. The next prime is 276481126828807. The reversal of 276481126828800 is 8828621184672.

276481126828800 is a `hidden beast` number, since 2 + 7 + 6 + 481 + 12 + 68 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×276481126828800² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (276481126828807) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 42037571112 + ... + 42037577688.

Almost surely, 2^{276481126828800} is an apocalyptic number.

276481126828800 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 276481126828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517904850671208).

276481126828800 is an abundant number, since it is smaller than the sum of its proper divisors (759328574513616).

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

276481126828800 is an equidigital number, since it uses as much as digits as its factorization.

276481126828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 276481126828800 in words is "two hundred seventy-six trillion, four hundred eighty-one billion, one hundred twenty-six million, eight hundred twenty-eight thousand, eight hundred".