11036613165840 has 480 divisors, whose sum is σ = 39044178441216. Its totient is φ = 2790524805120.

The previous prime is 11036613165769. The next prime is 11036613165859. The reversal of 11036613165840 is 4856131663011.

11036613165840 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 6 + 61 + 3 + 1 + 6 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 291715725 + ... + 291753555.

Almost surely, 2^{11036613165840} is an apocalyptic number.

11036613165840 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 11036613165840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19522089220608).

11036613165840 is an abundant number, since it is smaller than the sum of its proper divisors (28007565275376).

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

11036613165840 is a wasteful number, since it uses less digits than its factorization.

11036613165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38167 (or 38158 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11036613165840 in words is "eleven trillion, thirty-six billion, six hundred thirteen million, one hundred sixty-five thousand, eight hundred forty".