1318087728300 has 288 divisors, whose sum is σ = 4590498189312. Its totient is φ = 285483813120.

The previous prime is 1318087728259. The next prime is 1318087728317. The reversal of 1318087728300 is 38277808131.

It is a self number, because there is not a number n which added to its sum of digits gives 1318087728300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5040579 + ... + 5295621.

It is an arithmetic number, because the mean of its divisors is an integer number (15939229824).

Almost surely, 2^{1318087728300} is an apocalyptic number.

1318087728300 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 1318087728300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295249094656).

1318087728300 is an abundant number, since it is smaller than the sum of its proper divisors (3272410461012).

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

1318087728300 is a wasteful number, since it uses less digits than its factorization.

1318087728300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255197 (or 255190 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 1318087728300 in words is "one trillion, three hundred eighteen billion, eighty-seven million, seven hundred twenty-eight thousand, three hundred".