526214117130240 has 4352 divisors, whose sum is σ = 2313079939399680. Its totient is φ = 98884323901440.

The previous prime is 526214117130239. The next prime is 526214117130241. The reversal of 526214117130240 is 42031711412625.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (526214117130239) and next prime (526214117130241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526214117130241) 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 255 ways as a sum of consecutive naturals, for example, 4143418245057 + ... + 4143418245183.

It is an arithmetic number, because the mean of its divisors is an integer number (531498147840).

Almost surely, 2^{526214117130240} 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 526214117130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156539969699840).

526214117130240 is an abundant number, since it is smaller than the sum of its proper divisors (1786865822269440).

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

526214117130240 is a wasteful number, since it uses less digits than its factorization.

526214117130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 526214117130240 its reverse (42031711412625), we get a palindrome (568245828542865).

The spelling of 526214117130240 in words is "five hundred twenty-six trillion, two hundred fourteen billion, one hundred seventeen million, one hundred thirty thousand, two hundred forty".