11302405920 has 144 divisors (see below), whose sum is σ = 41536410552. Its totient is φ = 2782126080.

The previous prime is 11302405897. The next prime is 11302405927. The reversal of 11302405920 is 2950420311.

11302405920 is a `hidden beast` number, since 1 + 1 + 30 + 2 + 40 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10056880656 + 1245525264 = 100284^2 + 35292^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11302405927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283161 + ... + 320600.

Almost surely, 2^11302405920 is an apocalyptic number.

11302405920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11302405920 is an abundant number, since it is smaller than the sum of its proper divisors (30234004632).

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

11302405920 is a wasteful number, since it uses less digits than its factorization.

11302405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603795 (or 603784 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11302405920 in words is "eleven billion, three hundred two million, four hundred five thousand, nine hundred twenty".