11583162327858 has 256 divisors, whose sum is σ = 27929768993280. Its totient is φ = 3162533068800.

The previous prime is 11583162327829. The next prime is 11583162327871. The reversal of 11583162327858 is 85872326138511.

It is a happy number.

It is a super-2 number, since 2×11583162327858² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 661546008 + ... + 661563516.

It is an arithmetic number, because the mean of its divisors is an integer number (109100660130).

Almost surely, 2^{11583162327858} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11583162327858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964884496640).

11583162327858 is an abundant number, since it is smaller than the sum of its proper divisors (16346606665422).

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

11583162327858 is a wasteful number, since it uses less digits than its factorization.

11583162327858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17853.

The product of its digits is 19353600, while the sum is 60.

The spelling of 11583162327858 in words is "eleven trillion, five hundred eighty-three billion, one hundred sixty-two million, three hundred twenty-seven thousand, eight hundred fifty-eight".