11582545920 has 672 divisors, whose sum is σ = 43927410240. Its totient is φ = 2595225600.

The previous prime is 11582545913. The next prime is 11582545963. The reversal of 11582545920 is 2954528511.

It is a super-3 number, since 3×11582545920³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 282501100 + ... + 282501140.

It is an arithmetic number, because the mean of its divisors is an integer number (65368170).

Almost surely, 2^11582545920 is an apocalyptic number.

11582545920 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 11582545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21963705120).

11582545920 is an abundant number, since it is smaller than the sum of its proper divisors (32344864320).

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

11582545920 is a wasteful number, since it uses less digits than its factorization.

11582545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 11582545920 in words is "eleven billion, five hundred eighty-two million, five hundred forty-five thousand, nine hundred twenty".