11671711501220 has 96 divisors (see below), whose sum is σ = 25846922465280. Its totient is φ = 4420696504320.

The previous prime is 11671711501199. The next prime is 11671711501231. The reversal of 11671711501220 is 2210511717611.

11671711501220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11671711501220² (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 31 ways as a sum of consecutive naturals, for example, 105927116 + ... + 106037244.

It is an arithmetic number, because the mean of its divisors is an integer number (269238775680).

Almost surely, 2^{11671711501220} is an apocalyptic number.

11671711501220 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 11671711501220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923461232640).

11671711501220 is an abundant number, since it is smaller than the sum of its proper divisors (14175210964060).

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

11671711501220 is a wasteful number, since it uses less digits than its factorization.

11671711501220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113853 (or 113851 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 35.

The spelling of 11671711501220 in words is "eleven trillion, six hundred seventy-one billion, seven hundred eleven million, five hundred one thousand, two hundred twenty".