5266988280064 has 243 divisors, whose sum is σ = 12656261680713. Its totient is φ = 2181160396800.

The previous prime is 5266988279963. The next prime is 5266988280077. The reversal of 5266988280064 is 4600828896625.

The square root of 5266988280064 is 2294992.

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

It can be written as a sum of positive squares in only one way, i.e., 4182057720064 + 1084930560000 = 2045008^2 + 1041600^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 5266988279978 and 5266988280005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7968211894 + ... + 7968212554.

Almost surely, 2^{5266988280064} is an apocalyptic number.

5266988280064 is the 2294992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5266988280064

5266988280064 is an abundant number, since it is smaller than the sum of its proper divisors (7389273400649).

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

5266988280064 is an frugal number, since it uses more digits than its factorization.

5266988280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 64.

Multiplying 5266988280064 by its sum of digits (64), we get a square (337087249924096 = 18359936²).

5266988280064 divided by its sum of digits (64) gives a square (82296691876 = 286874²).

The spelling of 5266988280064 in words is "five trillion, two hundred sixty-six billion, nine hundred eighty-eight million, two hundred eighty thousand, sixty-four".