1000563661800 has 240 divisors, whose sum is σ = 3477161470860. Its totient is φ = 266659153920.

The previous prime is 1000563661739. The next prime is 1000563661807. The reversal of 1000563661800 is 81663650001.

It is a happy number.

1000563661800 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 6 + 36 + 618 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 239408618436 + 761155043364 = 489294^2 + 872442^2 .

It is a super-2 number, since 2×1000563661800² (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 not an unprimeable number, because it can be changed into a prime (1000563661807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28770022 + ... + 28804778.

Almost surely, 2^{1000563661800} is an apocalyptic number.

1000563661800 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 1000563661800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738580735430).

1000563661800 is an abundant number, since it is smaller than the sum of its proper divisors (2476597809060).

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

1000563661800 is a wasteful number, since it uses less digits than its factorization.

1000563661800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36562 (or 36544 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1000563661800 in words is "one trillion, five hundred sixty-three million, six hundred sixty-one thousand, eight hundred".