10785083904 has 400 divisors, whose sum is σ = 37265614848. Its totient is φ = 3041722368.

The previous prime is 10785083891. The next prime is 10785083927. The reversal of 10785083904 is 40938058701.

10785083904 is a `hidden beast` number, since 107 + 8 + 508 + 39 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10785083904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28159297 + ... + 28159679.

Almost surely, 2^10785083904 is an apocalyptic number.

10785083904 is a gapful number since it is divisible by the number (14) 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 10785083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632807424).

10785083904 is an abundant number, since it is smaller than the sum of its proper divisors (26480530944).

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

10785083904 is an frugal number, since it uses more digits than its factorization.

10785083904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10785083904 in words is "ten billion, seven hundred eighty-five million, eighty-three thousand, nine hundred four".