12558958720 has 320 divisors, whose sum is σ = 38261211840. Its totient is φ = 3909212160.

The previous prime is 12558958717. The next prime is 12558958721. The reversal of 12558958720 is 2785985521.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×12558958720³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12558958721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16902669 + ... + 16903411.

It is an arithmetic number, because the mean of its divisors is an integer number (119566287).

Almost surely, 2^12558958720 is an apocalyptic number.

12558958720 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 12558958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19130605920).

12558958720 is an abundant number, since it is smaller than the sum of its proper divisors (25702253120).

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

12558958720 is an frugal number, since it uses more digits than its factorization.

12558958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 52.

The spelling of 12558958720 in words is "twelve billion, five hundred fifty-eight million, nine hundred fifty-eight thousand, seven hundred twenty".