11164587140 has 96 divisors (see below), whose sum is σ = 28552849920. Its totient is φ = 3579623424.

The previous prime is 11164587059. The next prime is 11164587151. The reversal of 11164587140 is 4178546111.

It is a junction number, because it is equal to n+sod(n) for n = 11164587094 and 11164587103.

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, 358721 + ... + 388599.

It is an arithmetic number, because the mean of its divisors is an integer number (297425520).

Almost surely, 2^11164587140 is an apocalyptic number.

11164587140 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 11164587140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276424960).

11164587140 is an abundant number, since it is smaller than the sum of its proper divisors (17388262780).

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

11164587140 is a wasteful number, since it uses less digits than its factorization.

11164587140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30069 (or 30067 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The spelling of 11164587140 in words is "eleven billion, one hundred sixty-four million, five hundred eighty-seven thousand, one hundred forty".