51288175008 has 288 divisors, whose sum is σ = 179545766400. Its totient is φ = 13559228928.

The previous prime is 51288174991. The next prime is 51288175021. The reversal of 51288175008 is 80057188215.

51288175008 is a `hidden beast` number, since 5 + 128 + 8 + 17 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1631503 + ... + 1662641.

It is an arithmetic number, because the mean of its divisors is an integer number (623422800).

Almost surely, 2^51288175008 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 51288175008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89772883200).

51288175008 is an abundant number, since it is smaller than the sum of its proper divisors (128257591392).

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

51288175008 is a wasteful number, since it uses less digits than its factorization.

51288175008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31224 (or 31213 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 51288175008 in words is "fifty-one billion, two hundred eighty-eight million, one hundred seventy-five thousand, eight".