21003067800 has 768 divisors, whose sum is σ = 86619456000. Its totient is φ = 4610304000.

The previous prime is 21003067777. The next prime is 21003067829. The reversal of 21003067800 is 876030012.

It is a super-2 number, since 2×21003067800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45559570 + ... + 45560030.

It is an arithmetic number, because the mean of its divisors is an integer number (112785750).

Almost surely, 2^21003067800 is an apocalyptic number.

21003067800 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 21003067800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43309728000).

21003067800 is an abundant number, since it is smaller than the sum of its proper divisors (65616388200).

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

21003067800 is a wasteful number, since it uses less digits than its factorization.

21003067800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 21003067800 its reverse (876030012), we get a palindrome (21879097812).

The spelling of 21003067800 in words is "twenty-one billion, three million, sixty-seven thousand, eight hundred".