11670820056180 has 72 divisors (see below), whose sum is σ = 35799257075400. Its totient is φ = 3077249928192.

The previous prime is 11670820056167. The next prime is 11670820056191. The reversal of 11670820056180 is 8165002807611.

11670820056180 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 0 + 8 + 2 + 0 + 0 + 561 + 80 = 666.

11670820056180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 198807190884 + 11472012865296 = 445878^2 + 3387036^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364241785 + ... + 364273824.

It is an arithmetic number, because the mean of its divisors is an integer number (497211903825).

Almost surely, 2^{11670820056180} is an apocalyptic number.

11670820056180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11670820056180 is an abundant number, since it is smaller than the sum of its proper divisors (24128437019220).

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

11670820056180 is a wasteful number, since it uses less digits than its factorization.

11670820056180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728515713 (or 728515708 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11670820056180 in words is "eleven trillion, six hundred seventy billion, eight hundred twenty million, fifty-six thousand, one hundred eighty".