11811058259584 has 64 divisors (see below), whose sum is σ = 23729498402400. Its totient is φ = 5855609666560.

The previous prime is 11811058259531. The next prime is 11811058259621. The reversal of 11811058259584 is 48595285011811.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11811058259584² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7207674 + ... + 8693254.

Almost surely, 2^{11811058259584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11811058259584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11864749201200).

11811058259584 is an abundant number, since it is smaller than the sum of its proper divisors (11918440142816).

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

11811058259584 is a wasteful number, since it uses less digits than its factorization.

11811058259584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486121 (or 1486109 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 58.

The spelling of 11811058259584 in words is "eleven trillion, eight hundred eleven billion, fifty-eight million, two hundred fifty-nine thousand, five hundred eighty-four".