12826921536 has 525 divisors, whose sum is σ = 45289852905. Its totient is φ = 3587950080.

The previous prime is 12826921501. The next prime is 12826921559. The reversal of 12826921536 is 63512962821.

The square root of 12826921536 is 113256.

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

12826921536 is a `hidden beast` number, since 1 + 2 + 8 + 26 + 92 + 1 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1897473600 + 10929447936 = 43560^2 + 104544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12826921491 and 12826921500.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 986686266 + ... + 986686278.

Almost surely, 2^12826921536 is an apocalyptic number.

12826921536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12826921536 is the 113256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12826921536

12826921536 is an abundant number, since it is smaller than the sum of its proper divisors (32462931369).

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

12826921536 is an frugal number, since it uses more digits than its factorization.

12826921536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 29 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 12826921536 in words is "twelve billion, eight hundred twenty-six million, nine hundred twenty-one thousand, five hundred thirty-six".