12854268000 has 768 divisors, whose sum is σ = 54722304000. Its totient is φ = 2929651200.

The previous prime is 12854267989. The next prime is 12854268041. The reversal of 12854268000 is 86245821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37043827 + ... + 37044173.

It is an arithmetic number, because the mean of its divisors is an integer number (71253000).

Almost surely, 2^12854268000 is an apocalyptic number.

12854268000 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 12854268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361152000).

12854268000 is an abundant number, since it is smaller than the sum of its proper divisors (41868036000).

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

12854268000 is an equidigital number, since it uses as much as digits as its factorization.

12854268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12854268000 in words is "twelve billion, eight hundred fifty-four million, two hundred sixty-eight thousand".