10485069984 has 144 divisors (see below), whose sum is σ = 32117589504. Its totient is φ = 3235161600.

The previous prime is 10485069949. The next prime is 10485069997. The reversal of 10485069984 is 48996058401.

10485069984 is a `hidden beast` number, since 1 + 0 + 48 + 506 + 9 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 10485069984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179814 + ... + 230874.

It is an arithmetic number, because the mean of its divisors is an integer number (223038816).

Almost surely, 2^10485069984 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 10485069984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058794752).

10485069984 is an abundant number, since it is smaller than the sum of its proper divisors (21632519520).

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

10485069984 is a wasteful number, since it uses less digits than its factorization.

10485069984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51131 (or 51120 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 10485069984 in words is "ten billion, four hundred eighty-five million, sixty-nine thousand, nine hundred eighty-four".