51716441011600 has 60 divisors (see below), whose sum is σ = 124520629072324. Its totient is φ = 20641310300160.

The previous prime is 51716441011577. The next prime is 51716441011603. The reversal of 51716441011600 is 611014461715.

It can be written as a sum of positive squares in 6 ways, for example, as 688163157136 + 51028277854464 = 829556^2 + 7143408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51716441011600.

It is not an unprimeable number, because it can be changed into a prime (51716441011603) 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 11 ways as a sum of consecutive naturals, for example, 141273549 + ... + 141639148.

Almost surely, 2^{51716441011600} is an apocalyptic number.

51716441011600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51716441011600 is an abundant number, since it is smaller than the sum of its proper divisors (72804188060724).

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

51716441011600 is a wasteful number, since it uses less digits than its factorization.

51716441011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282913172 (or 282913161 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 51716441011600 in words is "fifty-one trillion, seven hundred sixteen billion, four hundred forty-one million, eleven thousand, six hundred".