10877776128 has 216 divisors, whose sum is σ = 33427150848. Its totient is φ = 3390160896.

The previous prime is 10877776109. The next prime is 10877776157. The reversal of 10877776128 is 82167777801.

10877776128 is a `hidden beast` number, since 10 + 8 + 7 + 7 + 7 + 7 + 612 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6540225 + ... + 6541887.

It is an arithmetic number, because the mean of its divisors is an integer number (154755328).

Almost surely, 2^10877776128 is an apocalyptic number.

10877776128 is a gapful number since it is divisible by the number (18) 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 10877776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713575424).

10877776128 is an abundant number, since it is smaller than the sum of its proper divisors (22549374720).

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

10877776128 is a wasteful number, since it uses less digits than its factorization.

10877776128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 54.

The spelling of 10877776128 in words is "ten billion, eight hundred seventy-seven million, seven hundred seventy-six thousand, one hundred twenty-eight".