12958006356 has 144 divisors (see below), whose sum is σ = 35887649616. Its totient is φ = 3925573632.

The previous prime is 12958006337. The next prime is 12958006357. The reversal of 12958006356 is 65360085921.

12958006356 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 8 + 0 + 0 + 635 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5024541456 + 7933464900 = 70884^2 + 89070^2 .

It is a super-3 number, since 3×12958006356³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12958006357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3100140 + ... + 3104316.

It is an arithmetic number, because the mean of its divisors is an integer number (249219789).

Almost surely, 2^12958006356 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 12958006356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943824808).

12958006356 is an abundant number, since it is smaller than the sum of its proper divisors (22929643260).

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

12958006356 is a wasteful number, since it uses less digits than its factorization.

12958006356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 12958006356 in words is "twelve billion, nine hundred fifty-eight million, six thousand, three hundred fifty-six".