10485188076 has 96 divisors (see below), whose sum is σ = 28692357120. Its totient is φ = 2946024000.

The previous prime is 10485188047. The next prime is 10485188083. The reversal of 10485188076 is 67088158401.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73401 + ... + 162351.

It is an arithmetic number, because the mean of its divisors is an integer number (298878720).

Almost surely, 2^10485188076 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 10485188076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14346178560).

10485188076 is an abundant number, since it is smaller than the sum of its proper divisors (18207169044).

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

10485188076 is a wasteful number, since it uses less digits than its factorization.

10485188076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89035 (or 89033 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 10485188076 in words is "ten billion, four hundred eighty-five million, one hundred eighty-eight thousand, seventy-six".