1785085538880 has 1344 divisors, whose sum is σ = 7084425922560. Its totient is φ = 379020902400.

The previous prime is 1785085538867. The next prime is 1785085538881. The reversal of 1785085538880 is 888355805871.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1785085538880² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1785085538881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4364512116 + ... + 4364512524.

It is an arithmetic number, because the mean of its divisors is an integer number (5271150240).

Almost surely, 2^{1785085538880} is an apocalyptic number.

1785085538880 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 1785085538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542212961280).

1785085538880 is an abundant number, since it is smaller than the sum of its proper divisors (5299340383680).

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

1785085538880 is a wasteful number, since it uses less digits than its factorization.

1785085538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 66.

The spelling of 1785085538880 in words is "one trillion, seven hundred eighty-five billion, eighty-five million, five hundred thirty-eight thousand, eight hundred eighty".