10209509856 has 864 divisors, whose sum is σ = 39997994400. Its totient is φ = 2438553600.

The previous prime is 10209509839. The next prime is 10209509857. The reversal of 10209509856 is 65890590201.

It is a super-2 number, since 2×10209509856² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10209509857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101084206 + ... + 101084306.

It is an arithmetic number, because the mean of its divisors is an integer number (46293975).

Almost surely, 2^10209509856 is an apocalyptic number.

10209509856 is a gapful number since it is divisible by the number (16) 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 10209509856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998997200).

10209509856 is an abundant number, since it is smaller than the sum of its proper divisors (29788484544).

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

10209509856 is a wasteful number, since it uses less digits than its factorization.

10209509856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10209509856 in words is "ten billion, two hundred nine million, five hundred nine thousand, eight hundred fifty-six".