51665687207136 has 576 divisors, whose sum is σ = 158796344318976. Its totient is φ = 15875481600000.

The previous prime is 51665687207003. The next prime is 51665687207159. The reversal of 51665687207136 is 63170278656615.

51665687207136 is a `hidden beast` number, since 5 + 1 + 66 + 568 + 7 + 2 + 0 + 7 + 1 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68795854761 + ... + 68795855511.

It is an arithmetic number, because the mean of its divisors is an integer number (275688097776).

Almost surely, 2^{51665687207136} 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 51665687207136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79398172159488).

51665687207136 is an abundant number, since it is smaller than the sum of its proper divisors (107130657111840).

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

51665687207136 is a wasteful number, since it uses less digits than its factorization.

51665687207136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 51665687207136 in words is "fifty-one trillion, six hundred sixty-five billion, six hundred eighty-seven million, two hundred seven thousand, one hundred thirty-six".