11086095613120 has 896 divisors, whose sum is σ = 34032463994880. Its totient is φ = 3384115200000.

The previous prime is 11086095613079. The next prime is 11086095613121. The reversal of 11086095613120 is 2131659068011.

It is a super-2 number, since 2×11086095613120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11086095613121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1304088870 + ... + 1304097370.

Almost surely, 2^{11086095613120} is an apocalyptic number.

11086095613120 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 11086095613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17016231997440).

11086095613120 is an abundant number, since it is smaller than the sum of its proper divisors (22946368381760).

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

11086095613120 is a wasteful number, since it uses less digits than its factorization.

11086095613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633 (or 8623 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 11086095613120 in words is "eleven trillion, eighty-six billion, ninety-five million, six hundred thirteen thousand, one hundred twenty".