1366361350200 has 576 divisors, whose sum is σ = 5777675205120. Its totient is φ = 281105280000.

The previous prime is 1366361350177. The next prime is 1366361350201. The reversal of 1366361350200 is 20531636631.

1366361350200 is a `hidden beast` number, since 1 + 3 + 6 + 636 + 13 + 5 + 0 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366361350201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 13949797 + ... + 14047403.

It is an arithmetic number, because the mean of its divisors is an integer number (10030686120).

Almost surely, 2^{1366361350200} is an apocalyptic number.

1366361350200 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 1366361350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888837602560).

1366361350200 is an abundant number, since it is smaller than the sum of its proper divisors (4411313854920).

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

1366361350200 is a wasteful number, since it uses less digits than its factorization.

1366361350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97748 (or 97736 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 1366361350200 its reverse (20531636631), we get a palindrome (1386892986831).

The spelling of 1366361350200 in words is "one trillion, three hundred sixty-six billion, three hundred sixty-one million, three hundred fifty thousand, two hundred".