10306988728064 has 432 divisors, whose sum is σ = 26772811390080. Its totient is φ = 3928564039680.

The previous prime is 10306988728051. The next prime is 10306988728117. The reversal of 10306988728064 is 46082788960301.

10306988728064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10306988727988 and 10306988728006.

It is a congruent number.

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, 290639294 + ... + 290674754.

It is an arithmetic number, because the mean of its divisors is an integer number (61974100440).

Almost surely, 2^{10306988728064} is an apocalyptic number.

10306988728064 is a gapful number since it is divisible by the number (14) 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 10306988728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386405695040).

10306988728064 is an abundant number, since it is smaller than the sum of its proper divisors (16465822662016).

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

10306988728064 is a wasteful number, since it uses less digits than its factorization.

10306988728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35584 (or 35563 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 62.

The spelling of 10306988728064 in words is "ten trillion, three hundred six billion, nine hundred eighty-eight million, seven hundred twenty-eight thousand, sixty-four".