10625640314000 has 40 divisors (see below), whose sum is σ = 25692798284088. Its totient is φ = 4250256124800.

The previous prime is 10625640313991. The next prime is 10625640314053. The reversal of 10625640314000 is 41304652601.

It can be written as a sum of positive squares in 4 ways, for example, as 10242249616 + 10615398064384 = 101204^2 + 3258128^2 .

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

It is a super-2 number, since 2×10625640314000² (a number of 27 digits) contains 22 as substring.

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, 2656408079 + ... + 2656412078.

Almost surely, 2^{10625640314000} is an apocalyptic number.

10625640314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10625640314000 is an abundant number, since it is smaller than the sum of its proper divisors (15067157970088).

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

10625640314000 is an equidigital number, since it uses as much as digits as its factorization.

10625640314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312820180 (or 5312820164 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 10625640314000 its reverse (41304652601), we get a palindrome (10666944966601).

The spelling of 10625640314000 in words is "ten trillion, six hundred twenty-five billion, six hundred forty million, three hundred fourteen thousand".