51984277560 has 192 divisors, whose sum is σ = 179012695680. Its totient is φ = 13037875200.

The previous prime is 51984277559. The next prime is 51984277607. The reversal of 51984277560 is 6577248915.

51984277560 is a `hidden beast` number, since 5 + 1 + 9 + 8 + 4 + 2 + 77 + 560 = 666.

It is a super-2 number, since 2×51984277560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51984277497 and 51984277506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14386314 + ... + 14389926.

It is an arithmetic number, because the mean of its divisors is an integer number (932357790).

Almost surely, 2^51984277560 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 51984277560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89506347840).

51984277560 is an abundant number, since it is smaller than the sum of its proper divisors (127028418120).

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

51984277560 is a wasteful number, since it uses less digits than its factorization.

51984277560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 51984277560 in words is "fifty-one billion, nine hundred eighty-four million, two hundred seventy-seven thousand, five hundred sixty".