10776828576 has 96 divisors (see below), whose sum is σ = 29816458560. Its totient is φ = 3398823936.

The previous prime is 10776828541. The next prime is 10776828589. The reversal of 10776828576 is 67582867701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10776828576² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 15 ways as a sum of consecutive naturals, for example, 1596280 + ... + 1603016.

It is an arithmetic number, because the mean of its divisors is an integer number (310588110).

Almost surely, 2^10776828576 is an apocalyptic number.

10776828576 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 10776828576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14908229280).

10776828576 is an abundant number, since it is smaller than the sum of its proper divisors (19039629984).

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

10776828576 is a wasteful number, since it uses less digits than its factorization.

10776828576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 10776828576 in words is "ten billion, seven hundred seventy-six million, eight hundred twenty-eight thousand, five hundred seventy-six".