10203646516640 has 48 divisors (see below), whose sum is σ = 24436335675528. Its totient is φ = 4025548210176.

The previous prime is 10203646516519. The next prime is 10203646516669. The reversal of 10203646516640 is 4661564630201.

It can be written as a sum of positive squares in 4 ways, for example, as 8324586775696 + 1879059740944 = 2885236^2 + 1370788^2 .

It is a super-2 number, since 2×10203646516640² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10203646516591 and 10203646516600.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 436788257 + ... + 436811616.

Almost surely, 2^{10203646516640} is an apocalyptic number.

10203646516640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203646516640 is an abundant number, since it is smaller than the sum of its proper divisors (14232689158888).

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

10203646516640 is an equidigital number, since it uses as much as digits as its factorization.

10203646516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873599961 (or 873599953 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 10203646516640 in words is "ten trillion, two hundred three billion, six hundred forty-six million, five hundred sixteen thousand, six hundred forty".