21260583246400 has 189 divisors, whose sum is σ = 55221725056329. Its totient is φ = 8055314127360.

The previous prime is 21260583246379. The next prime is 21260583246451. The reversal of 21260583246400 is 464238506212.

The square root of 21260583246400 is 4610920.

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., 7653809968704 + 13606773277696 = 2766552^2 + 3688736^2 .

It is a super-2 number, since 2×21260583246400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3504296167 + ... + 3504302233.

Almost surely, 2^{21260583246400} is an apocalyptic number.

21260583246400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21260583246400 is the 4610920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21260583246400

21260583246400 is an abundant number, since it is smaller than the sum of its proper divisors (33961141809929).

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

21260583246400 is an frugal number, since it uses more digits than its factorization.

21260583246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12194 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 21260583246400 in words is "twenty-one trillion, two hundred sixty billion, five hundred eighty-three million, two hundred forty-six thousand, four hundred".