10509688628820 has 288 divisors, whose sum is σ = 33657439495680. Its totient is φ = 2647164706560.

The previous prime is 10509688628767. The next prime is 10509688628867. The reversal of 10509688628820 is 2882688690501.

10509688628820 is a `hidden beast` number, since 1 + 0 + 509 + 6 + 8 + 86 + 28 + 8 + 20 = 666.

10509688628820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10509688628820² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1849317699 + ... + 1849323381.

It is an arithmetic number, because the mean of its divisors is an integer number (116866109360).

Almost surely, 2^{10509688628820} is an apocalyptic number.

10509688628820 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 10509688628820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828719747840).

10509688628820 is an abundant number, since it is smaller than the sum of its proper divisors (23147750866860).

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

10509688628820 is a wasteful number, since it uses less digits than its factorization.

10509688628820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 10509688628820 in words is "ten trillion, five hundred nine billion, six hundred eighty-eight million, six hundred twenty-eight thousand, eight hundred twenty".