11086799760 has 120 divisors (see below), whose sum is σ = 38517144120. Its totient is φ = 2854526976.

The previous prime is 11086799749. The next prime is 11086799771. The reversal of 11086799760 is 6799768011.

It is an interprime number because it is at equal distance from previous prime (11086799749) and next prime (11086799771).

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 11080509696 = 2508^2 + 105264^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 11086799697 and 11086799706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244609 + ... + 286368.

It is an arithmetic number, because the mean of its divisors is an integer number (320976201).

Almost surely, 2^11086799760 is an apocalyptic number.

11086799760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11086799760 is an abundant number, since it is smaller than the sum of its proper divisors (27430344360).

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

11086799760 is a wasteful number, since it uses less digits than its factorization.

11086799760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531025 (or 531016 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 11086799760 in words is "eleven billion, eighty-six million, seven hundred ninety-nine thousand, seven hundred sixty".