11891881080360 has 384 divisors, whose sum is σ = 40627199808000. Its totient is φ = 3012735817728.

The previous prime is 11891881080353. The next prime is 11891881080397. The reversal of 11891881080360 is 6308018819811.

It is a happy number.

11891881080360 is a `hidden beast` number, since 1 + 18 + 9 + 188 + 10 + 80 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11891881080297 and 11891881080306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168790021 + ... + 168860459.

It is an arithmetic number, because the mean of its divisors is an integer number (105799999500).

Almost surely, 2^{11891881080360} is an apocalyptic number.

11891881080360 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 11891881080360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313599904000).

11891881080360 is an abundant number, since it is smaller than the sum of its proper divisors (28735318727640).

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

11891881080360 is a wasteful number, since it uses less digits than its factorization.

11891881080360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70745 (or 70738 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 11891881080360 in words is "eleven trillion, eight hundred ninety-one billion, eight hundred eighty-one million, eighty thousand, three hundred sixty".