11179858755760 has 80 divisors (see below), whose sum is σ = 26349155510400. Its totient is φ = 4410814906368.

The previous prime is 11179858755647. The next prime is 11179858755799. The reversal of 11179858755760 is 6755785897111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11179858755760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5269336 + ... + 7079944.

It is an arithmetic number, because the mean of its divisors is an integer number (329364443880).

Almost surely, 2^{11179858755760} is an apocalyptic number.

11179858755760 is a gapful number since it is divisible by the number (10) 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 11179858755760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13174577755200).

11179858755760 is an abundant number, since it is smaller than the sum of its proper divisors (15169296754640).

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

11179858755760 is a wasteful number, since it uses less digits than its factorization.

11179858755760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811678 (or 1811672 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 70.

The spelling of 11179858755760 in words is "eleven trillion, one hundred seventy-nine billion, eight hundred fifty-eight million, seven hundred fifty-five thousand, seven hundred sixty".