10900727840 has 24 divisors (see below), whose sum is σ = 25752969900. Its totient is φ = 4360291072.

The previous prime is 10900727837. The next prime is 10900727867. The reversal of 10900727840 is 4872700901.

It can be written as a sum of positive squares in 2 ways, for example, as 8730286096 + 2170441744 = 93436^2 + 46588^2 .

It is a super-3 number, since 3×10900727840³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10900727794 and 10900727803.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34064615 + ... + 34064934.

Almost surely, 2^10900727840 is an apocalyptic number.

10900727840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10900727840 is an abundant number, since it is smaller than the sum of its proper divisors (14852242060).

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

10900727840 is an equidigital number, since it uses as much as digits as its factorization.

10900727840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68129564 (or 68129556 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 10900727840 in words is "ten billion, nine hundred million, seven hundred twenty-seven thousand, eight hundred forty".