12873602078400 has 1344 divisors, whose sum is σ = 51430692225024. Its totient is φ = 2757279744000.

The previous prime is 12873602078387. The next prime is 12873602078437. The reversal of 12873602078400 is 487020637821.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12873602078400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4748653045 + ... + 4748655755.

It is an arithmetic number, because the mean of its divisors is an integer number (38266884096).

Almost surely, 2^{12873602078400} is an apocalyptic number.

12873602078400 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 12873602078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25715346112512).

12873602078400 is an abundant number, since it is smaller than the sum of its proper divisors (38557090146624).

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

12873602078400 is a wasteful number, since it uses less digits than its factorization.

12873602078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 12873602078400 in words is "twelve trillion, eight hundred seventy-three billion, six hundred two million, seventy-eight thousand, four hundred".