1008275785362 has 80 divisors (see below), whose sum is σ = 2382209105760. Its totient is φ = 317865368448.

The previous prime is 1008275785277. The next prime is 1008275785427. The reversal of 1008275785362 is 2635875728001.

1008275785362 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 2 + 7 + 578 + 5 + 3 + 62 = 666.

1008275785362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1008275785299 and 1008275785308.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1549053 + ... + 2101455.

It is an arithmetic number, because the mean of its divisors is an integer number (29777613822).

Almost surely, 2^{1008275785362} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008275785362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191104552880).

1008275785362 is an abundant number, since it is smaller than the sum of its proper divisors (1373933320398).

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

1008275785362 is a wasteful number, since it uses less digits than its factorization.

1008275785362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553029 (or 553020 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1008275785362 in words is "one trillion, eight billion, two hundred seventy-five million, seven hundred eighty-five thousand, three hundred sixty-two".