21063142800 has 840 divisors, whose sum is σ = 91962256896. Its totient is φ = 4523765760.

The previous prime is 21063142799. The next prime is 21063142811. The reversal of 21063142800 is 824136012.

21063142800 is a `hidden beast` number, since 2 + 1 + 0 + 631 + 4 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×21063142800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 34700097 + ... + 34700703.

Almost surely, 2^21063142800 is an apocalyptic number.

21063142800 is a gapful number since it is divisible by the number (20) 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 21063142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45981128448).

21063142800 is an abundant number, since it is smaller than the sum of its proper divisors (70899114096).

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

21063142800 is a wasteful number, since it uses less digits than its factorization.

21063142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21063142800 its reverse (824136012), we get a palindrome (21887278812).

The spelling of 21063142800 in words is "twenty-one billion, sixty-three million, one hundred forty-two thousand, eight hundred".