10827124650 has 144 divisors (see below), whose sum is σ = 30596327424. Its totient is φ = 2739623040.

The previous prime is 10827124643. The next prime is 10827124681. The reversal of 10827124650 is 5642172801.

10827124650 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310332 + ... + 1318568.

It is an arithmetic number, because the mean of its divisors is an integer number (212474496).

Almost surely, 2^10827124650 is an apocalyptic number.

10827124650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10827124650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15298163712).

10827124650 is an abundant number, since it is smaller than the sum of its proper divisors (19769202774).

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

10827124650 is a wasteful number, since it uses less digits than its factorization.

10827124650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8405 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10827124650 in words is "ten billion, eight hundred twenty-seven million, one hundred twenty-four thousand, six hundred fifty".