12058647552 has 792 divisors, whose sum is σ = 44849540736. Its totient is φ = 3218890752.

The previous prime is 12058647547. The next prime is 12058647571. The reversal of 12058647552 is 25574685021.

12058647552 is a `hidden beast` number, since 1 + 2 + 0 + 58 + 6 + 47 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12058647498 and 12058647507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 280433643 + ... + 280433685.

It is an arithmetic number, because the mean of its divisors is an integer number (56628208).

Almost surely, 2^12058647552 is an apocalyptic number.

12058647552 is a gapful number since it is divisible by the number (12) 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 12058647552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22424770368).

12058647552 is an abundant number, since it is smaller than the sum of its proper divisors (32790893184).

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

12058647552 is an equidigital number, since it uses as much as digits as its factorization.

12058647552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 12058647552 in words is "twelve billion, fifty-eight million, six hundred forty-seven thousand, five hundred fifty-two".