1363200133680 has 800 divisors, whose sum is σ = 5912459435520. Its totient is φ = 282802544640.

The previous prime is 1363200133657. The next prime is 1363200133739. The reversal of 1363200133680 is 863310023631.

1363200133680 is a `hidden beast` number, since 1 + 3 + 632 + 0 + 0 + 13 + 3 + 6 + 8 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 368729592 + ... + 368733288.

Almost surely, 2^{1363200133680} is an apocalyptic number.

1363200133680 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 1363200133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956229717760).

1363200133680 is an abundant number, since it is smaller than the sum of its proper divisors (4549259301840).

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

1363200133680 is a wasteful number, since it uses less digits than its factorization.

1363200133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 1363200133680 in words is "one trillion, three hundred sixty-three billion, two hundred million, one hundred thirty-three thousand, six hundred eighty".