12075526782 has 192 divisors, whose sum is σ = 30256312320. Its totient is φ = 3476088000.

The previous prime is 12075526759. The next prime is 12075526789. The reversal of 12075526782 is 28762557021.

12075526782 is a `hidden beast` number, since 1 + 20 + 7 + 552 + 6 + 78 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12075526789) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52731444 + ... + 52731672.

It is an arithmetic number, because the mean of its divisors is an integer number (157584960).

Almost surely, 2^12075526782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12075526782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15128156160).

12075526782 is an abundant number, since it is smaller than the sum of its proper divisors (18180785538).

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

12075526782 is a wasteful number, since it uses less digits than its factorization.

12075526782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 12075526782 in words is "twelve billion, seventy-five million, five hundred twenty-six thousand, seven hundred eighty-two".