11276593828096 has 81 divisors (see below), whose sum is σ = 23076040084293. Its totient is φ = 5499702896640.

The previous prime is 11276593828091. The next prime is 11276593828103. The reversal of 11276593828096 is 69082839567211.

The square root of 11276593828096 is 3358064.

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., 543369482496 + 10733224345600 = 737136^2 + 3276160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11276593828091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2202887425 + ... + 2202892543.

Almost surely, 2^{11276593828096} is an apocalyptic number.

11276593828096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11276593828096 is the 3358064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11276593828096

11276593828096 is an abundant number, since it is smaller than the sum of its proper divisors (11799446256197).

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

11276593828096 is an frugal number, since it uses more digits than its factorization.

11276593828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 67.

The spelling of 11276593828096 in words is "eleven trillion, two hundred seventy-six billion, five hundred ninety-three million, eight hundred twenty-eight thousand, ninety-six".