12778840800 has 288 divisors, whose sum is σ = 50419272960. Its totient is φ = 3097843200.

The previous prime is 12778840799. The next prime is 12778840859. The reversal of 12778840800 is 804887721.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210709 + ... + 264491.

It is an arithmetic number, because the mean of its divisors is an integer number (175066920).

Almost surely, 2^12778840800 is an apocalyptic number.

12778840800 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 12778840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25209636480).

12778840800 is an abundant number, since it is smaller than the sum of its proper divisors (37640432160).

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

12778840800 is a wasteful number, since it uses less digits than its factorization.

12778840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53823 (or 53804 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 12778840800 in words is "twelve billion, seven hundred seventy-eight million, eight hundred forty thousand, eight hundred".