11585353480 has 64 divisors (see below), whose sum is σ = 27169459200. Its totient is φ = 4441063680.

The previous prime is 11585353471. The next prime is 11585353489. The reversal of 11585353480 is 8435358511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11585353471) and next prime (11585353489).

It is a super-2 number, since 2×11585353480² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11585353489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82366 + ... + 173074.

It is an arithmetic number, because the mean of its divisors is an integer number (424522800).

Almost surely, 2^11585353480 is an apocalyptic number.

11585353480 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 11585353480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584729600).

11585353480 is an abundant number, since it is smaller than the sum of its proper divisors (15584105720).

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

11585353480 is a wasteful number, since it uses less digits than its factorization.

11585353480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90854 (or 90850 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 11585353480 in words is "eleven billion, five hundred eighty-five million, three hundred fifty-three thousand, four hundred eighty".