10010877856 has 96 divisors (see below), whose sum is σ = 24022293120. Its totient is φ = 4008738816.

The previous prime is 10010877827. The next prime is 10010877869. The reversal of 10010877856 is 65877801001.

10010877856 is digitally balanced in base 2, because in such base 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 15 ways as a sum of consecutive naturals, for example, 519856 + ... + 538768.

It is an arithmetic number, because the mean of its divisors is an integer number (250232220).

Almost surely, 2^10010877856 is an apocalyptic number.

10010877856 is a gapful number since it is divisible by the number (16) 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 10010877856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011146560).

10010877856 is an abundant number, since it is smaller than the sum of its proper divisors (14011415264).

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

10010877856 is a wasteful number, since it uses less digits than its factorization.

10010877856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19086 (or 19078 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 43.

The spelling of 10010877856 in words is "ten billion, ten million, eight hundred seventy-seven thousand, eight hundred fifty-six".