51583210560 has 560 divisors, whose sum is σ = 211742999424. Its totient is φ = 11675860992.

The previous prime is 51583210559. The next prime is 51583210589. The reversal of 51583210560 is 6501238515.

It is a happy number.

51583210560 is a `hidden beast` number, since 5 + 1 + 5 + 83 + 2 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×51583210560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 19412752 + ... + 19415408.

Almost surely, 2^51583210560 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 51583210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105871499712).

51583210560 is an abundant number, since it is smaller than the sum of its proper divisors (160159788864).

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

51583210560 is a wasteful number, since it uses less digits than its factorization.

51583210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 51583210560 in words is "fifty-one billion, five hundred eighty-three million, two hundred ten thousand, five hundred sixty".