10785628085904 has 135 divisors (see below), whose sum is σ = 35113803840297. Its totient is φ = 3081529204992.

The previous prime is 10785628085863. The next prime is 10785628085909. The reversal of 10785628085904 is 40958082658701.

The square root of 10785628085904 is 3284148.

It is a perfect power (a square), and thus also a powerful number.

10785628085904 is a `hidden beast` number, since 10 + 7 + 8 + 5 + 6 + 28 + 0 + 8 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4404709587600 + 6380918498304 = 2098740^2 + 2526048^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10785628085909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275848884 + ... + 275887980.

Almost surely, 2^{10785628085904} is an apocalyptic number.

10785628085904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10785628085904 is the 3284148-th square number.

It is an amenable number.

10785628085904 is an abundant number, since it is smaller than the sum of its proper divisors (24328175754393).

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

10785628085904 is an frugal number, since it uses more digits than its factorization.

10785628085904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78222 (or 39109 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 10785628085904 in words is "ten trillion, seven hundred eighty-five billion, six hundred twenty-eight million, eighty-five thousand, nine hundred four".