51206656434024 has 384 divisors, whose sum is σ = 165728917831680. Its totient is φ = 13054949107200.

The previous prime is 51206656433983. The next prime is 51206656434049. The reversal of 51206656434024 is 42043465660215.

51206656434024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431689107 + ... + 431807709.

It is an arithmetic number, because the mean of its divisors is an integer number (431585723520).

Almost surely, 2^{51206656434024} 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 51206656434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82864458915840).

51206656434024 is an abundant number, since it is smaller than the sum of its proper divisors (114522261397656).

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

51206656434024 is a wasteful number, since it uses less digits than its factorization.

51206656434024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119581 (or 119570 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 51206656434024 in words is "fifty-one trillion, two hundred six billion, six hundred fifty-six million, four hundred thirty-four thousand, twenty-four".