11127371077086 has 384 divisors, whose sum is σ = 26817280035840. Its totient is φ = 3048046848000.

The previous prime is 11127371077073. The next prime is 11127371077091. The reversal of 11127371077086 is 68077017372111.

It is a happy number.

It is a super-3 number, since 3×11127371077086³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11160853140 + ... + 11160854136.

It is an arithmetic number, because the mean of its divisors is an integer number (69836666760).

Almost surely, 2^{11127371077086} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11127371077086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408640017920).

11127371077086 is an abundant number, since it is smaller than the sum of its proper divisors (15689908958754).

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

11127371077086 is a wasteful number, since it uses less digits than its factorization.

11127371077086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 51.

The spelling of 11127371077086 in words is "eleven trillion, one hundred twenty-seven billion, three hundred seventy-one million, seventy-seven thousand, eighty-six".