21364264000 has 56 divisors (see below), whose sum is σ = 52908619608. Its totient is φ = 8545702400.

The previous prime is 21364263997. The next prime is 21364264001. The reversal of 21364264000 is 46246312.

It can be written as a sum of positive squares in 4 ways, for example, as 427331584 + 20936932416 = 20672^2 + 144696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21364264000.

It is not an unprimeable number, because it can be changed into a prime (21364264001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1327267 + ... + 1343266.

Almost surely, 2^21364264000 is an apocalyptic number.

21364264000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21364264000 is an abundant number, since it is smaller than the sum of its proper divisors (31544355608).

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

21364264000 is an equidigital number, since it uses as much as digits as its factorization.

21364264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670560 (or 2670540 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 21364264000 in words is "twenty-one billion, three hundred sixty-four million, two hundred sixty-four thousand".