5277646868400 has 720 divisors, whose sum is σ = 18852878472480. Its totient is φ = 1366673817600.

The previous prime is 5277646868353. The next prime is 5277646868407. The reversal of 5277646868400 is 48686467725.

5277646868400 is a `hidden beast` number, since 5 + 2 + 7 + 76 + 468 + 68 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (5277646868407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13567215406 + ... + 13567215794.

It is an arithmetic number, because the mean of its divisors is an integer number (26184553434).

Almost surely, 2^{5277646868400} is an apocalyptic number.

5277646868400 is a gapful number since it is divisible by the number (50) 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 5277646868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9426439236240).

5277646868400 is an abundant number, since it is smaller than the sum of its proper divisors (13575231604080).

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

5277646868400 is a wasteful number, since it uses less digits than its factorization.

5277646868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 5277646868400 in words is "five trillion, two hundred seventy-seven billion, six hundred forty-six million, eight hundred sixty-eight thousand, four hundred".