11077775066624 has 240 divisors, whose sum is σ = 26499133531728. Its totient is φ = 4610325823488.

The previous prime is 11077775066587. The next prime is 11077775066629. The reversal of 11077775066624 is 42666057777011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11077775066629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186599954 + ... + 186659310.

Almost surely, 2^{11077775066624} is an apocalyptic number.

11077775066624 is a gapful number since it is divisible by the number (14) 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 11077775066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249566765864).

11077775066624 is an abundant number, since it is smaller than the sum of its proper divisors (15421358465104).

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

11077775066624 is an equidigital number, since it uses as much as digits as its factorization.

11077775066624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59605 (or 59582 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 59.

The spelling of 11077775066624 in words is "eleven trillion, seventy-seven billion, seven hundred seventy-five million, sixty-six thousand, six hundred twenty-four".