5278965760000 has 255 divisors, whose sum is σ = 13229942493691. Its totient is φ = 2105704448000.

The previous prime is 5278965759973. The next prime is 5278965760039. The reversal of 5278965760000 is 675698725.

The square root of 5278965760000 is 2297600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 413870915584 + 4865094844416 = 643328^2 + 2205696^2 .

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 14704639821 + ... + 14704640179.

Almost surely, 2^{5278965760000} is an apocalyptic number.

5278965760000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5278965760000 is the 2297600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5278965760000

5278965760000 is an abundant number, since it is smaller than the sum of its proper divisors (7950976733691).

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

5278965760000 is an frugal number, since it uses more digits than its factorization.

5278965760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 5278965760000 in words is "five trillion, two hundred seventy-eight billion, nine hundred sixty-five million, seven hundred sixty thousand".