12958444800 has 540 divisors, whose sum is σ = 54773362336. Its totient is φ = 2961100800.

The previous prime is 12958444799. The next prime is 12958444817. The reversal of 12958444800 is 844485921.

12958444800 is a `hidden beast` number, since 1 + 2 + 95 + 84 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3627015 + ... + 3630585.

Almost surely, 2^12958444800 is an apocalyptic number.

12958444800 is a gapful number since it is divisible by the number (10) 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 12958444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27386681168).

12958444800 is an abundant number, since it is smaller than the sum of its proper divisors (41814917536).

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

12958444800 is an equidigital number, since it uses as much as digits as its factorization.

12958444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12958444800 in words is "twelve billion, nine hundred fifty-eight million, four hundred forty-four thousand, eight hundred".