11072788656400 has 135 divisors (see below), whose sum is σ = 28262157784239. Its totient is φ = 4168153328640.

The previous prime is 11072788656389. The next prime is 11072788656421. The reversal of 11072788656400 is 465688727011.

The square root of 11072788656400 is 3327580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 259003637776 + 10813785018624 = 508924^2 + 3288432^2 .

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, 1131372307 + ... + 1131382093.

Almost surely, 2^{11072788656400} is an apocalyptic number.

11072788656400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11072788656400 is the 3327580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11072788656400

11072788656400 is an abundant number, since it is smaller than the sum of its proper divisors (17189369127839).

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

11072788656400 is an frugal number, since it uses more digits than its factorization.

11072788656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19626 (or 9811 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 11072788656400 in words is "eleven trillion, seventy-two billion, seven hundred eighty-eight million, six hundred fifty-six thousand, four hundred".