21083040000 has 675 divisors, whose sum is σ = 83555687215. Its totient is φ = 5111040000.

The previous prime is 21083039963. The next prime is 21083040061. The reversal of 21083040000 is 4038012.

It is a happy number.

The square root of 21083040000 is 145200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1652910336 + 19430129664 = 40656^2 + 139392^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1916639995 + ... + 1916640005.

Almost surely, 2^21083040000 is an apocalyptic number.

21083040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21083040000 is the 145200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21083040000

21083040000 is an abundant number, since it is smaller than the sum of its proper divisors (62472647215).

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

21083040000 is an frugal number, since it uses more digits than its factorization.

21083040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21083040000 its reverse (4038012), we get a palindrome (21087078012).

The spelling of 21083040000 in words is "twenty-one billion, eighty-three million, forty thousand".