12945160800 has 1080 divisors, whose sum is σ = 56321895168. Its totient is φ = 2874009600.

The previous prime is 12945160759. The next prime is 12945160829. The reversal of 12945160800 is 806154921.

12945160800 is a `hidden beast` number, since 1 + 2 + 9 + 45 + 1 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 101930337 + ... + 101930463.

Almost surely, 2^12945160800 is an apocalyptic number.

12945160800 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 12945160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28160947584).

12945160800 is an abundant number, since it is smaller than the sum of its proper divisors (43376734368).

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

12945160800 is a wasteful number, since it uses less digits than its factorization.

12945160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12945160800 in words is "twelve billion, nine hundred forty-five million, one hundred sixty thousand, eight hundred".