51672529656 has 384 divisors, whose sum is σ = 172550476800. Its totient is φ = 13765386240.

The previous prime is 51672529651. The next prime is 51672529661. The reversal of 51672529656 is 65692527615.

51672529656 is a `hidden beast` number, since 5 + 1 + 67 + 2 + 529 + 6 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (51672529651) and next prime (51672529661).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51672529651) 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 95 ways as a sum of consecutive naturals, for example, 18673185 + ... + 18675951.

It is an arithmetic number, because the mean of its divisors is an integer number (449350200).

Almost surely, 2^51672529656 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 51672529656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86275238400).

51672529656 is an abundant number, since it is smaller than the sum of its proper divisors (120877947144).

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

51672529656 is a wasteful number, since it uses less digits than its factorization.

51672529656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2892 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 51672529656 in words is "fifty-one billion, six hundred seventy-two million, five hundred twenty-nine thousand, six hundred fifty-six".