10120686720640 has 32 divisors (see below), whose sum is σ = 24194766693060. Its totient is φ = 4048274688000.

The previous prime is 10120686720629. The next prime is 10120686720649. The reversal of 10120686720640 is 4602768602101.

It can be written as a sum of positive squares in 2 ways, for example, as 9355229711424 + 765457009216 = 3058632^2 + 874904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10120686720649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7906785861 + ... + 7906787140.

Almost surely, 2^{10120686720640} is an apocalyptic number.

10120686720640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120686720640 is an abundant number, since it is smaller than the sum of its proper divisors (14074079972420).

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

10120686720640 is an equidigital number, since it uses as much as digits as its factorization.

10120686720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813573020 (or 15813573008 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 10120686720640 in words is "ten trillion, one hundred twenty billion, six hundred eighty-six million, seven hundred twenty thousand, six hundred forty".