11295125568 has 224 divisors, whose sum is σ = 35590398720. Its totient is φ = 3503554560.

The previous prime is 11295125557. The next prime is 11295125579. The reversal of 11295125568 is 86552159211.

11295125568 is a `hidden beast` number, since 1 + 1 + 2 + 95 + 1 + 2 + 556 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11295125557) and next prime (11295125579).

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, 1466688 + ... + 1474368.

Almost surely, 2^11295125568 is an apocalyptic number.

11295125568 is a gapful number since it is divisible by the number (18) 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 11295125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17795199360).

11295125568 is an abundant number, since it is smaller than the sum of its proper divisors (24295273152).

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

11295125568 is a wasteful number, since it uses less digits than its factorization.

11295125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 7746 counting only the distinct ones).

The product of its digits is 216000, while the sum is 45.

The spelling of 11295125568 in words is "eleven billion, two hundred ninety-five million, one hundred twenty-five thousand, five hundred sixty-eight".