11086035840 has 320 divisors, whose sum is σ = 43191569520. Its totient is φ = 2687385600.

The previous prime is 11086035839. The next prime is 11086035853. The reversal of 11086035840 is 4853068011.

11086035840 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 603 + 5 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11086035795 and 11086035804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 560520 + ... + 579960.

Almost surely, 2^11086035840 is an apocalyptic number.

11086035840 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 11086035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21595784760).

11086035840 is an abundant number, since it is smaller than the sum of its proper divisors (32105533680).

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

11086035840 is a wasteful number, since it uses less digits than its factorization.

11086035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19483 (or 19462 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11086035840 in words is "eleven billion, eighty-six million, thirty-five thousand, eight hundred forty".