11506896585 has 64 divisors (see below), whose sum is σ = 21038088960. Its totient is φ = 5963051520.

The previous prime is 11506896581. The next prime is 11506896617. The reversal of 11506896585 is 58569860511.

11506896585 is a `hidden beast` number, since 1 + 1 + 50 + 6 + 8 + 9 + 6 + 585 = 666.

It is not a de Polignac number, because 11506896585 - 2² = 11506896581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11506896581) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5958070 + ... + 5960000.

It is an arithmetic number, because the mean of its divisors is an integer number (328720140).

Almost surely, 2^11506896585 is an apocalyptic number.

11506896585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11506896585 is a deficient number, since it is larger than the sum of its proper divisors (9531192375).

11506896585 is a wasteful number, since it uses less digits than its factorization.

11506896585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 11506896585 in words is "eleven billion, five hundred six million, eight hundred ninety-six thousand, five hundred eighty-five".