1085987680640 has 128 divisors (see below), whose sum is σ = 2709698641920. Its totient is φ = 415411476480.

The previous prime is 1085987680639. The next prime is 1085987680693. The reversal of 1085987680640 is 460867895801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120567017 + ... + 120576023.

It is an arithmetic number, because the mean of its divisors is an integer number (21169520640).

Almost surely, 2^{1085987680640} is an apocalyptic number.

1085987680640 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 1085987680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354849320960).

1085987680640 is an abundant number, since it is smaller than the sum of its proper divisors (1623710961280).

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

1085987680640 is an equidigital number, since it uses as much as digits as its factorization.

1085987680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17240 (or 17228 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 62.

The spelling of 1085987680640 in words is "one trillion, eighty-five billion, nine hundred eighty-seven million, six hundred eighty thousand, six hundred forty".