11605360420 has 96 divisors (see below), whose sum is σ = 26357008608. Its totient is φ = 4276518912.

The previous prime is 11605360409. The next prime is 11605360421. The reversal of 11605360420 is 2406350611.

It can be written as a sum of positive squares in 16 ways, for example, as 13823524 + 11591536896 = 3718^2 + 107664^2 .

It is a super-3 number, since 3×11605360420³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11605360421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3398634 + ... + 3402046.

It is an arithmetic number, because the mean of its divisors is an integer number (274552173).

Almost surely, 2^11605360420 is an apocalyptic number.

11605360420 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 11605360420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178504304).

11605360420 is an abundant number, since it is smaller than the sum of its proper divisors (14751648188).

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

11605360420 is a wasteful number, since it uses less digits than its factorization.

11605360420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 11605360420 in words is "eleven billion, six hundred five million, three hundred sixty thousand, four hundred twenty".