51560852669568 has 1536 divisors, whose sum is σ = 187072341120000. Its totient is φ = 13823433768960.

The previous prime is 51560852669563. The next prime is 51560852669591. The reversal of 51560852669568 is 86596625806515.

51560852669568 is a `hidden beast` number, since 5 + 1 + 5 + 6 + 0 + 8 + 52 + 6 + 6 + 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 = 51560852669496 and 51560852669505.

It is not an unprimeable number, because it can be changed into a prime (51560852669561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29015673096 + ... + 29015674872.

It is an arithmetic number, because the mean of its divisors is an integer number (121791888750).

Almost surely, 2^{51560852669568} 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 51560852669568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93536170560000).

51560852669568 is an abundant number, since it is smaller than the sum of its proper divisors (135511488450432).

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

51560852669568 is a wasteful number, since it uses less digits than its factorization.

51560852669568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 72.

The spelling of 51560852669568 in words is "fifty-one trillion, five hundred sixty billion, eight hundred fifty-two million, six hundred sixty-nine thousand, five hundred sixty-eight".