1000828755360 has 720 divisors, whose sum is σ = 4241383534080. Its totient is φ = 221377121280.

The previous prime is 1000828755349. The next prime is 1000828755373. The reversal of 1000828755360 is 635578280001.

1000828755360 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 287 + 5 + 5 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 19660821 + ... + 19711659.

It is an arithmetic number, because the mean of its divisors is an integer number (5890810464).

Almost surely, 2^{1000828755360} is an apocalyptic number.

1000828755360 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 1000828755360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120691767040).

1000828755360 is an abundant number, since it is smaller than the sum of its proper divisors (3240554778720).

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

1000828755360 is a wasteful number, since it uses less digits than its factorization.

1000828755360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50911 (or 50887 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1000828755360 in words is "one trillion, eight hundred twenty-eight million, seven hundred fifty-five thousand, three hundred sixty".