21000589369600 has 81 divisors (see below), whose sum is σ = 51980647467693. Its totient is φ = 8400089103360.

The previous prime is 21000589369597. The next prime is 21000589369691. The reversal of 21000589369600 is 696398500012.

The square root of 21000589369600 is 4582640.

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

It can be written as a sum of positive squares in only one way, i.e., 7560212173056 + 13440377196544 = 2749584^2 + 3666112^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 366582559 + ... + 366639841.

Almost surely, 2^{21000589369600} is an apocalyptic number.

21000589369600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21000589369600 is the 4582640-th square number.

It is an amenable number.

21000589369600 is an abundant number, since it is smaller than the sum of its proper divisors (30980058098093).

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

21000589369600 is an frugal number, since it uses more digits than its factorization.

21000589369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114592 (or 57290 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The spelling of 21000589369600 in words is "twenty-one trillion, five hundred eighty-nine million, three hundred sixty-nine thousand, six hundred".