12575208960 has 320 divisors, whose sum is σ = 45717788160. Its totient is φ = 3274629120.

The previous prime is 12575208887. The next prime is 12575208973. The reversal of 12575208960 is 6980257521.

12575208960 is a `hidden beast` number, since 12 + 57 + 520 + 8 + 9 + 60 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 2970045 + ... + 2974275.

It is an arithmetic number, because the mean of its divisors is an integer number (142868088).

Almost surely, 2^12575208960 is an apocalyptic number.

12575208960 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 12575208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22858894080).

12575208960 is an abundant number, since it is smaller than the sum of its proper divisors (33142579200).

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

12575208960 is an equidigital number, since it uses as much as digits as its factorization.

12575208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12575208960 in words is "twelve billion, five hundred seventy-five million, two hundred eight thousand, nine hundred sixty".