21000270600 has 240 divisors, whose sum is σ = 76776968400. Its totient is φ = 5305253760.

The previous prime is 21000270583. The next prime is 21000270607. The reversal of 21000270600 is 607200012.

It is a happy number.

It is a super-2 number, since 2×21000270600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21000270607) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 273687 + ... + 341913.

It is an arithmetic number, because the mean of its divisors is an integer number (319904035).

Almost surely, 2^21000270600 is an apocalyptic number.

21000270600 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 21000270600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38388484200).

21000270600 is an abundant number, since it is smaller than the sum of its proper divisors (55776697800).

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

21000270600 is a wasteful number, since it uses less digits than its factorization.

21000270600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68274 (or 68256 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 21000270600 its reverse (607200012), we get a palindrome (21607470612).

It can be divided in two parts, 21000 and 270600, that added together give a square (291600 = 540²).

The spelling of 21000270600 in words is "twenty-one billion, two hundred seventy thousand, six hundred".