11105760072768 has 224 divisors, whose sum is σ = 30557136150528. Its totient is φ = 3555991756800.

The previous prime is 11105760072697. The next prime is 11105760072787. The reversal of 11105760072768 is 86727006750111.

It is a self number, because there is not a number n which added to its sum of digits gives 11105760072768.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455309853 + ... + 455334243.

Almost surely, 2^{11105760072768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105760072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15278568075264).

11105760072768 is an abundant number, since it is smaller than the sum of its proper divisors (19451376077760).

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

11105760072768 is a wasteful number, since it uses less digits than its factorization.

11105760072768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25001 (or 24991 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 51.

The spelling of 11105760072768 in words is "eleven trillion, one hundred five billion, seven hundred sixty million, seventy-two thousand, seven hundred sixty-eight".