51859906560 has 1680 divisors, whose sum is σ = 244066070160. Its totient is φ = 10404495360.

The previous prime is 51859906513. The next prime is 51859906561. The reversal of 51859906560 is 6560995815.

51859906560 is a `hidden beast` number, since 518 + 5 + 9 + 9 + 0 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 51859906497 and 51859906506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51859906561) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1788272626 + ... + 1788272654.

Almost surely, 2^51859906560 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 51859906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122033035080).

51859906560 is an abundant number, since it is smaller than the sum of its proper divisors (192206163600).

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

51859906560 is a wasteful number, since it uses less digits than its factorization.

51859906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 51859906560 in words is "fifty-one billion, eight hundred fifty-nine million, nine hundred six thousand, five hundred sixty".