10806877760 has 224 divisors, whose sum is σ = 31960596480. Its totient is φ = 3396556800.

The previous prime is 10806877663. The next prime is 10806877771. The reversal of 10806877760 is 6777860801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 10806877699 and 10806877708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315265 + ... + 1323455.

Almost surely, 2^10806877760 is an apocalyptic number.

10806877760 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 10806877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980298240).

10806877760 is an abundant number, since it is smaller than the sum of its proper divisors (21153718720).

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

10806877760 is a wasteful number, since it uses less digits than its factorization.

10806877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 50.

The spelling of 10806877760 in words is "ten billion, eight hundred six million, eight hundred seventy-seven thousand, seven hundred sixty".