276248082086400 has 960 divisors, whose sum is σ = 951776376984576. Its totient is φ = 70625879654400.

The previous prime is 276248082086359. The next prime is 276248082086407. The reversal of 276248082086400 is 4680280842672.

276248082086400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (276248082086407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129269106132 + ... + 129269108268.

Almost surely, 2^{276248082086400} is an apocalyptic number.

276248082086400 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 276248082086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475888188492288).

276248082086400 is an abundant number, since it is smaller than the sum of its proper divisors (675528294898176).

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

276248082086400 is an equidigital number, since it uses as much as digits as its factorization.

276248082086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 276248082086400 in words is "two hundred seventy-six trillion, two hundred forty-eight billion, eighty-two million, eighty-six thousand, four hundred".