1085253805584 has 640 divisors, whose sum is σ = 3609803957760. Its totient is φ = 309215232000.

The previous prime is 1085253805561. The next prime is 1085253805613. The reversal of 1085253805584 is 4855083525801.

1085253805584 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 2 + 5 + 3 + 80 + 558 + 4 = 666.

1085253805584 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 self number, because there is not a number n which added to its sum of digits gives 1085253805584.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2323883719 + ... + 2323884185.

It is an arithmetic number, because the mean of its divisors is an integer number (5640318684).

Almost surely, 2^{1085253805584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085253805584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804901978880).

1085253805584 is an abundant number, since it is smaller than the sum of its proper divisors (2524550152176).

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

1085253805584 is a wasteful number, since it uses less digits than its factorization.

1085253805584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 54.

The spelling of 1085253805584 in words is "one trillion, eighty-five billion, two hundred fifty-three million, eight hundred five thousand, five hundred eighty-four".