526281272640 has 336 divisors, whose sum is σ = 1918569116880. Its totient is φ = 131955425280.

The previous prime is 526281272617. The next prime is 526281272677. The reversal of 526281272640 is 46272182625.

526281272640 is a `hidden beast` number, since 5 + 2 + 628 + 12 + 7 + 2 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20316511296 + 505964761344 = 142536^2 + 711312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 55271080 + ... + 55280600.

Almost surely, 2^526281272640 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 526281272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959284558440).

526281272640 is an abundant number, since it is smaller than the sum of its proper divisors (1392287844240).

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

526281272640 is a wasteful number, since it uses less digits than its factorization.

526281272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 526281272640 in words is "five hundred twenty-six billion, two hundred eighty-one million, two hundred seventy-two thousand, six hundred forty".