5210334000256 has 192 divisors, whose sum is σ = 13626569476800. Its totient is φ = 1959999498240.

The previous prime is 5210334000163. The next prime is 5210334000269. The reversal of 5210334000256 is 6520004330125.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 698685 + ... + 3302851.

It is an arithmetic number, because the mean of its divisors is an integer number (70971716025).

Almost surely, 2^{5210334000256} is an apocalyptic number.

5210334000256 is a gapful number since it is divisible by the number (56) 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 5210334000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813284738400).

5210334000256 is an abundant number, since it is smaller than the sum of its proper divisors (8416235476544).

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

5210334000256 is a wasteful number, since it uses less digits than its factorization.

5210334000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604235 (or 2604216 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 5210334000256 in words is "five trillion, two hundred ten billion, three hundred thirty-four million, two hundred fifty-six", and thus it is an aban number.