11077666209792 has 1596 divisors, whose sum is σ = 41946944581200. Its totient is φ = 2921582297088.

The previous prime is 11077666209769. The next prime is 11077666209833. The reversal of 11077666209792 is 29790266677011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 852128169978 + ... + 852128169990.

Almost surely, 2^{11077666209792} is an apocalyptic number.

11077666209792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11077666209792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20973472290600).

11077666209792 is an abundant number, since it is smaller than the sum of its proper divisors (30869278371408).

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

11077666209792 is an frugal number, since it uses more digits than its factorization.

11077666209792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

Multiplying 11077666209792 by its sum of digits (63), we get a square (697892971216896 = 26417664²).

11077666209792 divided by its sum of digits (63) gives a square (175835971584 = 419328²).

The spelling of 11077666209792 in words is "eleven trillion, seventy-seven billion, six hundred sixty-six million, two hundred nine thousand, seven hundred ninety-two".