11778871105296 has 135 divisors (see below), whose sum is σ = 33271927973557. Its totient is φ = 3890006883840.

The previous prime is 11778871105237. The next prime is 11778871105297. The reversal of 11778871105296 is 69250117887711.

The square root of 11778871105296 is 3432036.

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

11778871105296 is a `hidden beast` number, since 1 + 17 + 7 + 8 + 87 + 1 + 10 + 529 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207553136400 + 11571317968896 = 455580^2 + 3401664^2 .

It is a super-3 number, since 3×11778871105296³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11778871105297) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4653839551 + ... + 4653842081.

Almost surely, 2^{11778871105296} is an apocalyptic number.

11778871105296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11778871105296 is the 3432036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11778871105296

11778871105296 is an abundant number, since it is smaller than the sum of its proper divisors (21493056868261).

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

11778871105296 is an frugal number, since it uses more digits than its factorization.

11778871105296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 63.

The spelling of 11778871105296 in words is "eleven trillion, seven hundred seventy-eight billion, eight hundred seventy-one million, one hundred five thousand, two hundred ninety-six".