10352125366160 has 40 divisors (see below), whose sum is σ = 24068976179640. Its totient is φ = 4140801165312.

The previous prime is 10352125366157. The next prime is 10352125366189. The reversal of 10352125366160 is 6166352125301.

It can be written as a sum of positive squares in 4 ways, for example, as 2218586418064 + 8133538948096 = 1489492^2 + 2851936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6464294 + ... + 7905146.

It is an arithmetic number, because the mean of its divisors is an integer number (601724404491).

Almost surely, 2^{10352125366160} is an apocalyptic number.

10352125366160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10352125366160 is an abundant number, since it is smaller than the sum of its proper divisors (13716850813480).

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

10352125366160 is a wasteful number, since it uses less digits than its factorization.

10352125366160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530675 (or 1530669 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 10352125366160 in words is "ten trillion, three hundred fifty-two billion, one hundred twenty-five million, three hundred sixty-six thousand, one hundred sixty".