51662074165632 has 384 divisors, whose sum is σ = 175702323763200. Its totient is φ = 14258292572160.

The previous prime is 51662074165631. The next prime is 51662074165643. The reversal of 51662074165632 is 23656147026615.

51662074165632 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 2 + 0 + 74 + 1 + 6 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×51662074165632² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51662074165631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136552344 + ... + 136930152.

It is an arithmetic number, because the mean of its divisors is an integer number (457558134800).

Almost surely, 2^{51662074165632} 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 51662074165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87851161881600).

51662074165632 is an abundant number, since it is smaller than the sum of its proper divisors (124040249597568).

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

51662074165632 is a wasteful number, since it uses less digits than its factorization.

51662074165632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378414 (or 378399 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 51662074165632 in words is "fifty-one trillion, six hundred sixty-two billion, seventy-four million, one hundred sixty-five thousand, six hundred thirty-two".