12775968000 has 864 divisors, whose sum is σ = 50140726272. Its totient is φ = 3234816000.

The previous prime is 12775967999. The next prime is 12775968001. The reversal of 12775968000 is 86957721.

It is an interprime number because it is at equal distance from previous prime (12775967999) and next prime (12775968001).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12775968001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241055974 + ... + 241056026.

It is an arithmetic number, because the mean of its divisors is an integer number (58033248).

Almost surely, 2^12775968000 is an apocalyptic number.

12775968000 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 12775968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25070363136).

12775968000 is an abundant number, since it is smaller than the sum of its proper divisors (37364758272).

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

12775968000 is an frugal number, since it uses more digits than its factorization.

12775968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 12775968000 in words is "twelve billion, seven hundred seventy-five million, nine hundred sixty-eight thousand".