1366212355200 has 2880 divisors, whose sum is σ = 6513416448000. Its totient is φ = 281652940800.

The previous prime is 1366212355187. The next prime is 1366212355217. The reversal of 1366212355200 is 25532126631.

1366212355200 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 2 + 123 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1366212355200² (a number of 25 digits) contains 22 as substring.

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 359 ways as a sum of consecutive naturals, for example, 10757577537 + ... + 10757577663.

Almost surely, 2^{1366212355200} is an apocalyptic number.

1366212355200 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 1366212355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256708224000).

1366212355200 is an abundant number, since it is smaller than the sum of its proper divisors (5147204092800).

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

1366212355200 is a wasteful number, since it uses less digits than its factorization.

1366212355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1366212355200 in words is "one trillion, three hundred sixty-six billion, two hundred twelve million, three hundred fifty-five thousand, two hundred".