11796889315600 has 45 divisors (see below), whose sum is σ = 28342191617103. Its totient is φ = 4718728248960.

The previous prime is 11796889315597. The next prime is 11796889315657. The reversal of 11796889315600 is 651398869711.

The square root of 11796889315600 is 3434660.

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 808035592464 + 10988853723136 = 898908^2 + 3314944^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68607334 + ... + 68779066.

Almost surely, 2^{11796889315600} is an apocalyptic number.

11796889315600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11796889315600 is the 3434660-th square number.

It is an amenable number.

11796889315600 is an abundant number, since it is smaller than the sum of its proper divisors (16545302301503).

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

11796889315600 is an frugal number, since it uses more digits than its factorization.

11796889315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343484 (or 171740 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 64.

Multiplying 11796889315600 by its sum of digits (64), we get a square (755000916198400 = 27477280²).

The spelling of 11796889315600 in words is "eleven trillion, seven hundred ninety-six billion, eight hundred eighty-nine million, three hundred fifteen thousand, six hundred".