51618747509568 has 336 divisors, whose sum is σ = 153355607009280. Its totient is φ = 16592013914112.

The previous prime is 51618747509543. The next prime is 51618747509603. The reversal of 51618747509568 is 86590574781615.

51618747509568 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 8 + 7 + 4 + 7 + 50 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 51618747509496 and 51618747509505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414782778 + ... + 414907206.

Almost surely, 2^{51618747509568} 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 51618747509568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76677803504640).

51618747509568 is an abundant number, since it is smaller than the sum of its proper divisors (101736859499712).

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

51618747509568 is a wasteful number, since it uses less digits than its factorization.

51618747509568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124734 (or 124721 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 72.

The spelling of 51618747509568 in words is "fifty-one trillion, six hundred eighteen billion, seven hundred forty-seven million, five hundred nine thousand, five hundred sixty-eight".