5256766773504 has 432 divisors, whose sum is σ = 17006565204720. Its totient is φ = 1553462722560.

The previous prime is 5256766773491. The next prime is 5256766773547. The reversal of 5256766773504 is 4053776676525.

5256766773504 is a `hidden beast` number, since 5 + 2 + 5 + 67 + 6 + 67 + 7 + 3 + 504 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 873940783104 + 4382825990400 = 934848^2 + 2093520^2 .

It is a super-2 number, since 2×5256766773504² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 46514314 + ... + 46627190.

It is an arithmetic number, because the mean of its divisors is an integer number (39367049085).

Almost surely, 2^{5256766773504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5256766773504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503282602360).

5256766773504 is an abundant number, since it is smaller than the sum of its proper divisors (11749798431216).

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

5256766773504 is a wasteful number, since it uses less digits than its factorization.

5256766773504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112986 (or 112969 counting only the distinct ones).

The product of its (nonzero) digits is 222264000, while the sum is 63.

The spelling of 5256766773504 in words is "five trillion, two hundred fifty-six billion, seven hundred sixty-six million, seven hundred seventy-three thousand, five hundred four".