10636575672006 has 24 divisors (see below), whose sum is σ = 23137730356104. Its totient is φ = 3531399624000.

The previous prime is 10636575671993. The next prime is 10636575672049. The reversal of 10636575672006 is 60027657563601.

10636575672006 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 6 + 57 + 567 + 20 + 0 + 6 = 666.

It is a super-2 number, since 2×10636575672006² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177128691 + ... + 1177137726.

It is an arithmetic number, because the mean of its divisors is an integer number (964072098171).

Almost surely, 2^{10636575672006} is an apocalyptic number.

10636575672006 is an abundant number, since it is smaller than the sum of its proper divisors (12501154684098).

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

10636575672006 is a wasteful number, since it uses less digits than its factorization.

10636575672006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354266676 (or 2354266673 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 10636575672006 in words is "ten trillion, six hundred thirty-six billion, five hundred seventy-five million, six hundred seventy-two thousand, six".