51075178560 has 672 divisors, whose sum is σ = 210462400512. Its totient is φ = 11548293120.

The previous prime is 51075178543. The next prime is 51075178577. The reversal of 51075178560 is 6587157015.

51075178560 is a `hidden beast` number, since 5 + 1 + 0 + 75 + 17 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (51075178543) and next prime (51075178577).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56064505 + ... + 56065415.

It is an arithmetic number, because the mean of its divisors is an integer number (313188096).

Almost surely, 2^51075178560 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 51075178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105231200256).

51075178560 is an abundant number, since it is smaller than the sum of its proper divisors (159387221952).

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

51075178560 is a wasteful number, since it uses less digits than its factorization.

51075178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 51075178560 in words is "fifty-one billion, seventy-five million, one hundred seventy-eight thousand, five hundred sixty".