11073569820768 has 1728 divisors, whose sum is σ = 42279124462848. Its totient is φ = 2824576634880.

The previous prime is 11073569820749. The next prime is 11073569820809. The reversal of 11073569820768 is 86702896537011.

11073569820768 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 3 + 569 + 8 + 2 + 0 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20244185871 + ... + 20244186417.

It is an arithmetic number, because the mean of its divisors is an integer number (24467085916).

Almost surely, 2^{11073569820768} is an apocalyptic number.

11073569820768 is a gapful number since it is divisible by the number (18) 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 11073569820768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139562231424).

11073569820768 is an abundant number, since it is smaller than the sum of its proper divisors (31205554642080).

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

11073569820768 is a wasteful number, since it uses less digits than its factorization.

11073569820768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 11073569820768 in words is "eleven trillion, seventy-three billion, five hundred sixty-nine million, eight hundred twenty thousand, seven hundred sixty-eight".