10285576704 has 240 divisors, whose sum is σ = 32298057792. Its totient is φ = 3132186624.

The previous prime is 10285576673. The next prime is 10285576709. The reversal of 10285576704 is 40767558201.

10285576704 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 5 + 576 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10285576704.

It is not an unprimeable number, because it can be changed into a prime (10285576709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6169279 + ... + 6170945.

Almost surely, 2^10285576704 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 10285576704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149028896).

10285576704 is an abundant number, since it is smaller than the sum of its proper divisors (22012481088).

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

10285576704 is a wasteful number, since it uses less digits than its factorization.

10285576704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 10285576704 in words is "ten billion, two hundred eighty-five million, five hundred seventy-six thousand, seven hundred four".