10776689280 has 768 divisors, whose sum is σ = 45553363200. Its totient is φ = 2357821440.

The previous prime is 10776689263. The next prime is 10776689293. The reversal of 10776689280 is 8298667701.

It is a super-2 number, since 2×10776689280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 203333734 + ... + 203333786.

It is an arithmetic number, because the mean of its divisors is an integer number (59314275).

Almost surely, 2^10776689280 is an apocalyptic number.

10776689280 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 10776689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22776681600).

10776689280 is an abundant number, since it is smaller than the sum of its proper divisors (34776673920).

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

10776689280 is an equidigital number, since it uses as much as digits as its factorization.

10776689280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10776689280 in words is "ten billion, seven hundred seventy-six million, six hundred eighty-nine thousand, two hundred eighty".