21735604900 has 81 divisors (see below), whose sum is σ = 49383171523. Its totient is φ = 8303257600.

The previous prime is 21735604889. The next prime is 21735604901. The reversal of 21735604900 is 940653712.

The square root of 21735604900 is 147430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2231806564 + 19503798336 = 47242^2 + 139656^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21735604900.

It is not an unprimeable number, because it can be changed into a prime (21735604901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33908580 + ... + 33909220.

Almost surely, 2^21735604900 is an apocalyptic number.

21735604900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21735604900 is the 147430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21735604900

21735604900 is an abundant number, since it is smaller than the sum of its proper divisors (27647566623).

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

21735604900 is an equidigital number, since it uses as much as digits as its factorization.

21735604900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 21735604900 in words is "twenty-one billion, seven hundred thirty-five million, six hundred four thousand, nine hundred".