1363803682800 has 480 divisors, whose sum is σ = 5123197094400. Its totient is φ = 307068088320.

The previous prime is 1363803682789. The next prime is 1363803682817. The reversal of 1363803682800 is 82863083631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1363803682800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8516269 + ... + 8674931.

It is an arithmetic number, because the mean of its divisors is an integer number (10673327280).

Almost surely, 2^{1363803682800} is an apocalyptic number.

1363803682800 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 1363803682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561598547200).

1363803682800 is an abundant number, since it is smaller than the sum of its proper divisors (3759393411600).

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

1363803682800 is a wasteful number, since it uses less digits than its factorization.

1363803682800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158745 (or 158734 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 1363803682800 in words is "one trillion, three hundred sixty-three billion, eight hundred three million, six hundred eighty-two thousand, eight hundred".