51717642762240 has 2304 divisors, whose sum is σ = 226869614899200. Its totient is φ = 10605535690752.

The previous prime is 51717642762239. The next prime is 51717642762347. The reversal of 51717642762240 is 4226724671715.

51717642762240 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 7 + 6 + 4 + 2 + 7 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70556128914 + ... + 70556129646.

It is an arithmetic number, because the mean of its divisors is an integer number (98467714800).

Almost surely, 2^{51717642762240} 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 51717642762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113434807449600).

51717642762240 is an abundant number, since it is smaller than the sum of its proper divisors (175151972136960).

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

51717642762240 is a wasteful number, since it uses less digits than its factorization.

51717642762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 51717642762240 in words is "fifty-one trillion, seven hundred seventeen billion, six hundred forty-two million, seven hundred sixty-two thousand, two hundred forty".