11671025711536 has 80 divisors (see below), whose sum is σ = 24553798768800. Its totient is φ = 5352377794560.

The previous prime is 11671025711531. The next prime is 11671025711591. The reversal of 11671025711536 is 63511752017611.

It is not an unprimeable number, because it can be changed into a prime (11671025711531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9537940 + ... + 10691788.

It is an arithmetic number, because the mean of its divisors is an integer number (306922484610).

Almost surely, 2^{11671025711536} is an apocalyptic number.

11671025711536 is a gapful number since it is divisible by the number (16) 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 11671025711536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276899384400).

11671025711536 is an abundant number, since it is smaller than the sum of its proper divisors (12882773057264).

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

11671025711536 is a wasteful number, since it uses less digits than its factorization.

11671025711536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154822 (or 1154816 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 46.

The spelling of 11671025711536 in words is "eleven trillion, six hundred seventy-one billion, twenty-five million, seven hundred eleven thousand, five hundred thirty-six".