10632983579712 has 448 divisors, whose sum is σ = 35726623349760. Its totient is φ = 3072075890688.

The previous prime is 10632983579693. The next prime is 10632983579747. The reversal of 10632983579712 is 21797538923601.

10632983579712 is a `hidden beast` number, since 10 + 6 + 32 + 9 + 8 + 3 + 579 + 7 + 12 = 666.

It is a super-2 number, since 2×10632983579712² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10632983579712.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165325353 + ... + 165389655.

It is an arithmetic number, because the mean of its divisors is an integer number (79746927120).

Almost surely, 2^{10632983579712} is an apocalyptic number.

10632983579712 is a gapful number since it is divisible by the number (12) 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 10632983579712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863311674880).

10632983579712 is an abundant number, since it is smaller than the sum of its proper divisors (25093639770048).

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

10632983579712 is a wasteful number, since it uses less digits than its factorization.

10632983579712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64787 (or 64771 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 10632983579712 in words is "ten trillion, six hundred thirty-two billion, nine hundred eighty-three million, five hundred seventy-nine thousand, seven hundred twelve".