1360889587200 has 960 divisors, whose sum is σ = 5394956700672. Its totient is φ = 297998745600.

The previous prime is 1360889587171. The next prime is 1360889587241. The reversal of 1360889587200 is 27859880631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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, 258083764 + ... + 258089036.

Almost surely, 2^{1360889587200} is an apocalyptic number.

1360889587200 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 1360889587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697478350336).

1360889587200 is an abundant number, since it is smaller than the sum of its proper divisors (4034067113472).

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

1360889587200 is a wasteful number, since it uses less digits than its factorization.

1360889587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 1360889587200 in words is "one trillion, three hundred sixty billion, eight hundred eighty-nine million, five hundred eighty-seven thousand, two hundred".