1085345963520 has 640 divisors, whose sum is σ = 4417757245440. Its totient is φ = 221095526400.

The previous prime is 1085345963501. The next prime is 1085345963609. The reversal of 1085345963520 is 253695435801.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20240745 + ... + 20294295.

It is an arithmetic number, because the mean of its divisors is an integer number (6902745696).

Almost surely, 2^{1085345963520} is an apocalyptic number.

1085345963520 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 1085345963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208878622720).

1085345963520 is an abundant number, since it is smaller than the sum of its proper divisors (3332411281920).

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

1085345963520 is a wasteful number, since it uses less digits than its factorization.

1085345963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53626 (or 53610 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 1085345963520 in words is "one trillion, eighty-five billion, three hundred forty-five million, nine hundred sixty-three thousand, five hundred twenty".