526405068000 has 2688 divisors, whose sum is σ = 2468770327296. Its totient is φ = 107495424000.

The previous prime is 526405067957. The next prime is 526405068001. The reversal of 526405068000 is 860504625.

526405068000 is a `hidden beast` number, since 5 + 2 + 640 + 5 + 0 + 6 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526405068001) 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 447 ways as a sum of consecutive naturals, for example, 12839147980 + ... + 12839148020.

It is an arithmetic number, because the mean of its divisors is an integer number (918441342).

Almost surely, 2^526405068000 is an apocalyptic number.

526405068000 is a gapful number since it is divisible by the number (50) 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 526405068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234385163648).

526405068000 is an abundant number, since it is smaller than the sum of its proper divisors (1942365259296).

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

526405068000 is a wasteful number, since it uses less digits than its factorization.

526405068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 526405068000 in words is "five hundred twenty-six billion, four hundred five million, sixty-eight thousand".