1325116800 has 576 divisors, whose sum is σ = 5659347600. Its totient is φ = 301916160.

The previous prime is 1325116769. The next prime is 1325116801. The reversal of 1325116800 is 86115231.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325116801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4233444 + ... + 4233756.

Almost surely, 2^1325116800 is an apocalyptic number.

1325116800 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 1325116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829673800).

1325116800 is an abundant number, since it is smaller than the sum of its proper divisors (4334230800).

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

1325116800 is a wasteful number, since it uses less digits than its factorization.

1325116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1325116800 is about 36402.1537824344. The cubic root of 1325116800 is about 1098.3768899370.

The spelling of 1325116800 in words is "one billion, three hundred twenty-five million, one hundred sixteen thousand, eight hundred".