51601656666656 has 96 divisors (see below), whose sum is σ = 105195315859200. Its totient is φ = 24887116656640.

The previous prime is 51601656666631. The next prime is 51601656666739. The reversal of 51601656666656 is 65666665610615.

It is a happy number.

51601656666656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51601656666592 and 51601656666601.

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 15 ways as a sum of consecutive naturals, for example, 4994831411 + ... + 4994841741.

It is an arithmetic number, because the mean of its divisors is an integer number (1095784540200).

Almost surely, 2^{51601656666656} is an apocalyptic number.

It is an amenable number.

51601656666656 is an abundant number, since it is smaller than the sum of its proper divisors (53593659192544).

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

51601656666656 is a wasteful number, since it uses less digits than its factorization.

51601656666656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042 (or 15034 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 65.

The spelling of 51601656666656 in words is "fifty-one trillion, six hundred one billion, six hundred fifty-six million, six hundred sixty-six thousand, six hundred fifty-six".