526413201859328 has 288 divisors, whose sum is σ = 1228550363873280. Its totient is φ = 220424336179200.

The previous prime is 526413201859243. The next prime is 526413201859411. The reversal of 526413201859328 is 823958102314625.

It is a super-2 number, since 2×526413201859328² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220348764758 + ... + 220348767146.

It is an arithmetic number, because the mean of its divisors is an integer number (4265799874560).

Almost surely, 2^{526413201859328} 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 526413201859328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614275181936640).

526413201859328 is an abundant number, since it is smaller than the sum of its proper divisors (702137162013952).

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

526413201859328 is a wasteful number, since it uses less digits than its factorization.

526413201859328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 59.

The spelling of 526413201859328 in words is "five hundred twenty-six trillion, four hundred thirteen billion, two hundred one million, eight hundred fifty-nine thousand, three hundred twenty-eight".