21296305203264 has 567 divisors, whose sum is σ = 76926787402023. Its totient is φ = 5613949845504.

The previous prime is 21296305203227. The next prime is 21296305203269. The reversal of 21296305203264 is 46230250369212.

The square root of 21296305203264 is 4614792.

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

21296305203264 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 6 + 30 + 520 + 32 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17666822988864 + 3629482214400 = 4203192^2 + 1905120^2 .

It is not an unprimeable number, because it can be changed into a prime (21296305203269) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10078704672 + ... + 10078706784.

Almost surely, 2^{21296305203264} is an apocalyptic number.

21296305203264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21296305203264 is the 4614792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21296305203264

21296305203264 is an abundant number, since it is smaller than the sum of its proper divisors (55630482198759).

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

21296305203264 is an equidigital number, since it uses as much as digits as its factorization.

21296305203264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 21296305203264 in words is "twenty-one trillion, two hundred ninety-six billion, three hundred five million, two hundred three thousand, two hundred sixty-four".