51716484771840 has 2080 divisors, whose sum is σ = 216272154954240. Its totient is φ = 11578547109888.

The previous prime is 51716484771839. The next prime is 51716484771857. The reversal of 51716484771840 is 4817748461715.

51716484771840 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 6 + 484 + 7 + 71 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 168457604967 + ... + 168457605273.

Almost surely, 2^{51716484771840} 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 51716484771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108136077477120).

51716484771840 is an abundant number, since it is smaller than the sum of its proper divisors (164555670182400).

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

51716484771840 is a wasteful number, since it uses less digits than its factorization.

51716484771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 51716484771840 in words is "fifty-one trillion, seven hundred sixteen billion, four hundred eighty-four million, seven hundred seventy-one thousand, eight hundred forty".