10066203232800 has 1152 divisors, whose sum is σ = 39484612823040. Its totient is φ = 2194853068800.

The previous prime is 10066203232769. The next prime is 10066203232807. The reversal of 10066203232800 is 823230266001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10066203232807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11348593957 + ... + 11348594843.

It is an arithmetic number, because the mean of its divisors is an integer number (34274837520).

Almost surely, 2^{10066203232800} is an apocalyptic number.

10066203232800 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 10066203232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19742306411520).

10066203232800 is an abundant number, since it is smaller than the sum of its proper divisors (29418409590240).

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

10066203232800 is a wasteful number, since it uses less digits than its factorization.

10066203232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 10066203232800 its reverse (823230266001), we get a palindrome (10889433498801).

The spelling of 10066203232800 in words is "ten trillion, sixty-six billion, two hundred three million, two hundred thirty-two thousand, eight hundred".