10781728080 has 120 divisors (see below), whose sum is σ = 34537048416. Its totient is φ = 2782321920.

The previous prime is 10781728079. The next prime is 10781728091. The reversal of 10781728080 is 8082718701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207267 + ... + 254013.

Almost surely, 2^10781728080 is an apocalyptic number.

10781728080 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 10781728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17268524208).

10781728080 is an abundant number, since it is smaller than the sum of its proper divisors (23755320336).

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

10781728080 is a wasteful number, since it uses less digits than its factorization.

10781728080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46825 (or 46788 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 42.

The spelling of 10781728080 in words is "ten billion, seven hundred eighty-one million, seven hundred twenty-eight thousand, eighty".