12868545600 has 336 divisors, whose sum is σ = 47451873600. Its totient is φ = 3392040960.

The previous prime is 12868545589. The next prime is 12868545601. The reversal of 12868545600 is 654586821.

12868545600 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 85 + 4 + 560 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12868545601) 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, 3843127 + ... + 3846473.

Almost surely, 2^12868545600 is an apocalyptic number.

12868545600 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 12868545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23725936800).

12868545600 is an abundant number, since it is smaller than the sum of its proper divisors (34583328000).

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

12868545600 is a wasteful number, since it uses less digits than its factorization.

12868545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 12868545600 in words is "twelve billion, eight hundred sixty-eight million, five hundred forty-five thousand, six hundred".