10857979776 has 192 divisors, whose sum is σ = 33667246080. Its totient is φ = 3091479552.

The previous prime is 10857979763. The next prime is 10857979787. The reversal of 10857979776 is 67797975801.

10857979776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6528321 + ... + 6529983.

It is an arithmetic number, because the mean of its divisors is an integer number (175350240).

Almost surely, 2^10857979776 is an apocalyptic number.

10857979776 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 10857979776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16833623040).

10857979776 is an abundant number, since it is smaller than the sum of its proper divisors (22809266304).

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

10857979776 is a wasteful number, since it uses less digits than its factorization.

10857979776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 66.

The spelling of 10857979776 in words is "ten billion, eight hundred fifty-seven million, nine hundred seventy-nine thousand, seven hundred seventy-six".