11585456680 has 64 divisors (see below), whose sum is σ = 29808829440. Its totient is φ = 3969802752.

The previous prime is 11585456677. The next prime is 11585456711. The reversal of 11585456680 is 8665458511.

It is a happy number.

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, 499092 + ... + 521788.

It is an arithmetic number, because the mean of its divisors is an integer number (465762960).

Almost surely, 2^11585456680 is an apocalyptic number.

11585456680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11585456680 is an abundant number, since it is smaller than the sum of its proper divisors (18223372760).

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

11585456680 is a wasteful number, since it uses less digits than its factorization.

11585456680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24538 (or 24534 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 49.

The spelling of 11585456680 in words is "eleven billion, five hundred eighty-five million, four hundred fifty-six thousand, six hundred eighty".