51647256576 has 144 divisors (see below), whose sum is σ = 150649087680. Its totient is φ = 17044684800.

The previous prime is 51647256571. The next prime is 51647256601. The reversal of 51647256576 is 67565274615.

It is a happy number.

51647256576 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 7 + 2 + 565 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51647256576² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51647256571) 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 11 ways as a sum of consecutive naturals, for example, 1847761 + ... + 1875503.

It is an arithmetic number, because the mean of its divisors is an integer number (1046174220).

Almost surely, 2^51647256576 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 51647256576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75324543840).

51647256576 is an abundant number, since it is smaller than the sum of its proper divisors (99001831104).

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

51647256576 is a wasteful number, since it uses less digits than its factorization.

51647256576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27872 (or 27849 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 51647256576 in words is "fifty-one billion, six hundred forty-seven million, two hundred fifty-six thousand, five hundred seventy-six".