11042635776 has 240 divisors, whose sum is σ = 31204669440. Its totient is φ = 3468165120.

The previous prime is 11042635771. The next prime is 11042635781. The reversal of 11042635776 is 67753624011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11042635771) and next prime (11042635781).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042635771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86949825 + ... + 86949951.

It is an arithmetic number, because the mean of its divisors is an integer number (130019456).

Almost surely, 2^11042635776 is an apocalyptic number.

11042635776 is a gapful number since it is divisible by the number (16) 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 11042635776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602334720).

11042635776 is an abundant number, since it is smaller than the sum of its proper divisors (20162033664).

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

11042635776 is an equidigital number, since it uses as much as digits as its factorization.

11042635776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 11042635776 in words is "eleven billion, forty-two million, six hundred thirty-five thousand, seven hundred seventy-six".