12854791303200 has 2880 divisors, whose sum is σ = 61833818382336. Its totient is φ = 2520668160000.

The previous prime is 12854791303153. The next prime is 12854791303229. The reversal of 12854791303200 is 230319745821.

It is a happy number.

12854791303200 is a `hidden beast` number, since 1 + 2 + 8 + 54 + 7 + 91 + 303 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6341780587 + ... + 6341782613.

Almost surely, 2^{12854791303200} is an apocalyptic number.

12854791303200 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 12854791303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30916909191168).

12854791303200 is an abundant number, since it is smaller than the sum of its proper divisors (48979027079136).

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

12854791303200 is a wasteful number, since it uses less digits than its factorization.

12854791303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12854791303200 in words is "twelve trillion, eight hundred fifty-four billion, seven hundred ninety-one million, three hundred three thousand, two hundred".