1326135610800 has 1440 divisors, whose sum is σ = 6209832545280. Its totient is φ = 253095321600.

The previous prime is 1326135610799. The next prime is 1326135610817. The reversal of 1326135610800 is 80165316231.

1326135610800 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 1 + 35 + 610 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 825223597 + ... + 825225203.

It is an arithmetic number, because the mean of its divisors is an integer number (4312383712).

Almost surely, 2^{1326135610800} is an apocalyptic number.

1326135610800 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 1326135610800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104916272640).

1326135610800 is an abundant number, since it is smaller than the sum of its proper divisors (4883696934480).

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

1326135610800 is a wasteful number, since it uses less digits than its factorization.

1326135610800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1326135610800 in words is "one trillion, three hundred twenty-six billion, one hundred thirty-five million, six hundred ten thousand, eight hundred".