10506656160 has 1152 divisors, whose sum is σ = 49691625984. Its totient is φ = 1950842880.

The previous prime is 10506656159. The next prime is 10506656191. The reversal of 10506656160 is 6165660501.

10506656160 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 2×10506656160² (a number of 21 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 53333182 + ... + 53333378.

It is an arithmetic number, because the mean of its divisors is an integer number (43135092).

Almost surely, 2^10506656160 is an apocalyptic number.

10506656160 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 10506656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24845812992).

10506656160 is an abundant number, since it is smaller than the sum of its proper divisors (39184969824).

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

10506656160 is a wasteful number, since it uses less digits than its factorization.

10506656160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 10506 and 656160, that added together give a palindrome (666666).

The spelling of 10506656160 in words is "ten billion, five hundred six million, six hundred fifty-six thousand, one hundred sixty".