10785585216 has 168 divisors, whose sum is σ = 33288975840. Its totient is φ = 3072964608.

The previous prime is 10785585169. The next prime is 10785585227. The reversal of 10785585216 is 61258558701.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3846471 + ... + 3849273.

Almost surely, 2^10785585216 is an apocalyptic number.

10785585216 is a gapful number since it is divisible by the number (16) 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 10785585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16644487920).

10785585216 is an abundant number, since it is smaller than the sum of its proper divisors (22503390624).

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

10785585216 is a wasteful number, since it uses less digits than its factorization.

10785585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 48.

The spelling of 10785585216 in words is "ten billion, seven hundred eighty-five million, five hundred eighty-five thousand, two hundred sixteen".