11075435804160 has 1920 divisors, whose sum is σ = 49276076129280. Its totient is φ = 2321614503936.

The previous prime is 11075435804113. The next prime is 11075435804189. The reversal of 11075435804160 is 6140853457011.

11075435804160 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 5 + 4 + 3 + 580 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10133060574 + ... + 10133061666.

It is an arithmetic number, because the mean of its divisors is an integer number (25664622984).

Almost surely, 2^{11075435804160} is an apocalyptic number.

11075435804160 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 11075435804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24638038064640).

11075435804160 is an abundant number, since it is smaller than the sum of its proper divisors (38200640325120).

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

11075435804160 is a wasteful number, since it uses less digits than its factorization.

11075435804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 11075435804160 in words is "eleven trillion, seventy-five billion, four hundred thirty-five million, eight hundred four thousand, one hundred sixty".