10061065728 has 300 divisors, whose sum is σ = 34939484712. Its totient is φ = 2874009600.

The previous prime is 10061065673. The next prime is 10061065747. The reversal of 10061065728 is 82756016001.

10061065728 is a `hidden beast` number, since 10 + 0 + 610 + 6 + 5 + 7 + 28 = 666.

10061065728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10061065692 and 10061065701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2029653 + ... + 2034603.

Almost surely, 2^10061065728 is an apocalyptic number.

10061065728 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 10061065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17469742356).

10061065728 is an abundant number, since it is smaller than the sum of its proper divisors (24878418984).

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

10061065728 is an frugal number, since it uses more digits than its factorization.

10061065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10061065728 in words is "ten billion, sixty-one million, sixty-five thousand, seven hundred twenty-eight".