11086612883280 has 480 divisors, whose sum is σ = 41401589628672. Its totient is φ = 2636175974400.

The previous prime is 11086612883273. The next prime is 11086612883299. The reversal of 11086612883280 is 8238821668011.

11086612883280 is a `hidden beast` number, since 1 + 1 + 0 + 86 + 6 + 1 + 288 + 3 + 280 = 666.

11086612883280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 104593989 + ... + 104699931.

Almost surely, 2^{11086612883280} is an apocalyptic number.

11086612883280 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 11086612883280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700794814336).

11086612883280 is an abundant number, since it is smaller than the sum of its proper divisors (30314976745392).

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

11086612883280 is a wasteful number, since it uses less digits than its factorization.

11086612883280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106227 (or 106218 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 11086612883280 in words is "eleven trillion, eighty-six billion, six hundred twelve million, eight hundred eighty-three thousand, two hundred eighty".