11604698560 has 448 divisors, whose sum is σ = 35557724160. Its totient is φ = 3510190080.

The previous prime is 11604698549. The next prime is 11604698569. The reversal of 11604698560 is 6589640611.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 11604698560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11604698569) 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, 83486971 + ... + 83487109.

It is an arithmetic number, because the mean of its divisors is an integer number (79369920).

Almost surely, 2^11604698560 is an apocalyptic number.

11604698560 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 11604698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778862080).

11604698560 is an abundant number, since it is smaller than the sum of its proper divisors (23953025600).

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

11604698560 is a wasteful number, since it uses less digits than its factorization.

11604698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 11604698560 in words is "eleven billion, six hundred four million, six hundred ninety-eight thousand, five hundred sixty".