1085155557264 has 135 divisors (see below), whose sum is σ = 3104599582747. Its totient is φ = 353830706112.

The previous prime is 1085155557253. The next prime is 1085155557289. The reversal of 1085155557264 is 4627555515801.

The square root of 1085155557264 is 1041708.

It is a perfect power (a square), and thus also a powerful number.

1085155557264 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 1 + 5 + 5 + 5 + 572 + 64 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1085155557264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 587522389 + ... + 587524235.

Almost surely, 2^{1085155557264} is an apocalyptic number.

1085155557264 is the 1041708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085155557264

1085155557264 is an abundant number, since it is smaller than the sum of its proper divisors (2019444025483).

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

1085155557264 is an frugal number, since it uses more digits than its factorization.

1085155557264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 8400000, while the sum is 54.

The spelling of 1085155557264 in words is "one trillion, eighty-five billion, one hundred fifty-five million, five hundred fifty-seven thousand, two hundred sixty-four".