10811353728 has 384 divisors, whose sum is σ = 35933310720. Its totient is φ = 2861236224.

The previous prime is 10811353699. The next prime is 10811353753. The reversal of 10811353728 is 82735311801.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23350425 + ... + 23350887.

It is an arithmetic number, because the mean of its divisors is an integer number (93576330).

Almost surely, 2^10811353728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10811353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17966655360).

10811353728 is an abundant number, since it is smaller than the sum of its proper divisors (25121956992).

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

10811353728 is a wasteful number, since it uses less digits than its factorization.

10811353728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10811353728 in words is "ten billion, eight hundred eleven million, three hundred fifty-three thousand, seven hundred twenty-eight".