11083904261712 has 640 divisors, whose sum is σ = 35440901637120. Its totient is φ = 3298823700480.

The previous prime is 11083904261711. The next prime is 11083904261713. The reversal of 11083904261712 is 21716240938011.

11083904261712 is a `hidden beast` number, since 1 + 10 + 8 + 3 + 9 + 0 + 4 + 2 + 617 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (11083904261711) and next prime (11083904261713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11083904261711) 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, 13907031298 + ... + 13907032094.

It is an arithmetic number, because the mean of its divisors is an integer number (55376408808).

Almost surely, 2^{11083904261712} is an apocalyptic number.

11083904261712 is a gapful number since it is divisible by the number (12) 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 11083904261712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720450818560).

11083904261712 is an abundant number, since it is smaller than the sum of its proper divisors (24356997375408).

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

11083904261712 is a wasteful number, since it uses less digits than its factorization.

11083904261712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11083904261712 in words is "eleven trillion, eighty-three billion, nine hundred four million, two hundred sixty-one thousand, seven hundred twelve".