1085837084640 has 384 divisors, whose sum is σ = 4738199639040. Its totient is φ = 225628416000.

The previous prime is 1085837084627. The next prime is 1085837084663. The reversal of 1085837084640 is 464807385801.

1085837084640 is a `hidden beast` number, since 10 + 8 + 583 + 7 + 0 + 8 + 4 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299511 + ... + 1964790.

It is an arithmetic number, because the mean of its divisors is an integer number (12339061560).

Almost surely, 2^{1085837084640} is an apocalyptic number.

1085837084640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085837084640 is an abundant number, since it is smaller than the sum of its proper divisors (3652362554400).

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

1085837084640 is a wasteful number, since it uses less digits than its factorization.

1085837084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264343 (or 3264329 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1085837084640 in words is "one trillion, eighty-five billion, eight hundred thirty-seven million, eighty-four thousand, six hundred forty".