10827792640 has 216 divisors, whose sum is σ = 31215988440. Its totient is φ = 3583770624.

The previous prime is 10827792557. The next prime is 10827792641. The reversal of 10827792640 is 4629772801.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 10825986304 = 1344^2 + 104048^2 .

It is not an unprimeable number, because it can be changed into a prime (10827792641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1815904 + ... + 1821856.

It is an arithmetic number, because the mean of its divisors is an integer number (144518465).

Almost surely, 2^10827792640 is an apocalyptic number.

10827792640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10827792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607994220).

10827792640 is an abundant number, since it is smaller than the sum of its proper divisors (20388195800).

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

10827792640 is an equidigital number, since it uses as much as digits as its factorization.

10827792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 10827792640 in words is "ten billion, eight hundred twenty-seven million, seven hundred ninety-two thousand, six hundred forty".