1309285555200 has 1584 divisors, whose sum is σ = 5627866293504. Its totient is φ = 295413350400.

The previous prime is 1309285555187. The next prime is 1309285555211. The reversal of 1309285555200 is 25555829031.

It is a happy number.

1309285555200 is a `hidden beast` number, since 1 + 3 + 0 + 92 + 8 + 5 + 5 + 552 + 0 + 0 = 666.

It is a super-4 number, since 4×1309285555200⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4659379060 + ... + 4659379340.

Almost surely, 2^{1309285555200} is an apocalyptic number.

1309285555200 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 1309285555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813933146752).

1309285555200 is an abundant number, since it is smaller than the sum of its proper divisors (4318580738304).

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

1309285555200 is a wasteful number, since it uses less digits than its factorization.

1309285555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 1309285555200 in words is "one trillion, three hundred nine billion, two hundred eighty-five million, five hundred fifty-five thousand, two hundred".