1563001300800 has 1008 divisors, whose sum is σ = 5934336225792. Its totient is φ = 389471846400.

The previous prime is 1563001300799. The next prime is 1563001300801. The reversal of 1563001300800 is 80031003651.

1563001300800 is a `hidden beast` number, since 1 + 56 + 300 + 1 + 300 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1563001300799) and next prime (1563001300801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563001300801) 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, 2857406127 + ... + 2857406673.

Almost surely, 2^{1563001300800} is an apocalyptic number.

1563001300800 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 1563001300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967168112896).

1563001300800 is an abundant number, since it is smaller than the sum of its proper divisors (4371334924992).

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

1563001300800 is a wasteful number, since it uses less digits than its factorization.

1563001300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1563001300800 in words is "one trillion, five hundred sixty-three billion, one million, three hundred thousand, eight hundred".