10632638286810 has 32 divisors (see below), whose sum is σ = 28353702098880. Its totient is φ = 2835370209744.

The previous prime is 10632638286799. The next prime is 10632638286817. The reversal of 10632638286810 is 1868283623601.

10632638286810 is a `hidden beast` number, since 1 + 0 + 6 + 326 + 38 + 286 + 8 + 1 + 0 = 666.

It is a super-2 number, since 2×10632638286810² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10632638286817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19690070632 + ... + 19690071171.

It is an arithmetic number, because the mean of its divisors is an integer number (886053190590).

Almost surely, 2^{10632638286810} is an apocalyptic number.

10632638286810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10632638286810 is an abundant number, since it is smaller than the sum of its proper divisors (17721063812070).

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

10632638286810 is a wasteful number, since it uses less digits than its factorization.

10632638286810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39380141819 (or 39380141813 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 10632638286810 in words is "ten trillion, six hundred thirty-two billion, six hundred thirty-eight million, two hundred eighty-six thousand, eight hundred ten".