526652740048 has 80 divisors (see below), whose sum is σ = 1118212447680. Its totient is φ = 239173982208.

The previous prime is 526652740001. The next prime is 526652740057. The reversal of 526652740048 is 840047256625.

It is a junction number, because it is equal to n+sod(n) for n = 526652739983 and 526652740010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17362111 + ... + 17392417.

It is an arithmetic number, because the mean of its divisors is an integer number (13977655596).

Almost surely, 2^526652740048 is an apocalyptic number.

526652740048 is a gapful number since it is divisible by the number (58) 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 526652740048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559106223840).

526652740048 is an abundant number, since it is smaller than the sum of its proper divisors (591559707632).

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

526652740048 is a wasteful number, since it uses less digits than its factorization.

526652740048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32564 (or 32558 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 526652740048 in words is "five hundred twenty-six billion, six hundred fifty-two million, seven hundred forty thousand, forty-eight".