11669056000000 has 819 divisors, whose sum is σ = 34496306898651. Its totient is φ = 3935232000000.

The previous prime is 11669055999989. The next prime is 11669056000009. The reversal of 11669056000000 is 65096611.

The square root of 11669056000000 is 3416000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 3095122415616 + 8573933584384 = 1759296^2 + 2928128^2 .

It is a super-2 number, since 2×11669056000000² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11669056000000.

It is not an unprimeable number, because it can be changed into a prime (11669056000009) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 191295999970 + ... + 191296000030.

Almost surely, 2^{11669056000000} is an apocalyptic number.

11669056000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11669056000000 is the 3416000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11669056000000

11669056000000 is an abundant number, since it is smaller than the sum of its proper divisors (22827250898651).

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

11669056000000 is an frugal number, since it uses more digits than its factorization.

11669056000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 11669056000000 in words is "eleven trillion, six hundred sixty-nine billion, fifty-six million", and thus it is an aban number.