10785408216 has 128 divisors (see below), whose sum is σ = 32309452800. Its totient is φ = 2961636480.

The previous prime is 10785408187. The next prime is 10785408223. The reversal of 10785408216 is 61280458701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68625 + ... + 162111.

It is an arithmetic number, because the mean of its divisors is an integer number (252417600).

Almost surely, 2^10785408216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10785408216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16154726400).

10785408216 is an abundant number, since it is smaller than the sum of its proper divisors (21524044584).

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

10785408216 is a wasteful number, since it uses less digits than its factorization.

10785408216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93549 (or 93545 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 10785408216 in words is "ten billion, seven hundred eighty-five million, four hundred eight thousand, two hundred sixteen".