51006635712 has 140 divisors (see below), whose sum is σ = 160094020680. Its totient is φ = 16002054144.

The previous prime is 51006635707. The next prime is 51006635717. The reversal of 51006635712 is 21753660015.

51006635712 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 6 + 635 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (51006635707) and next prime (51006635717).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51006635717) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 201262 + ... + 377517.

Almost surely, 2^51006635712 is an apocalyptic number.

It is an amenable number.

51006635712 is an abundant number, since it is smaller than the sum of its proper divisors (109087384968).

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

51006635712 is a wasteful number, since it uses less digits than its factorization.

51006635712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578820 (or 578801 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 51006635712 in words is "fifty-one billion, six million, six hundred thirty-five thousand, seven hundred twelve".