51207176160 has 672 divisors, whose sum is σ = 211006010880. Its totient is φ = 11495291904.

The previous prime is 51207176159. The next prime is 51207176171. The reversal of 51207176160 is 6167170215.

51207176160 is a `hidden beast` number, since 5 + 1 + 20 + 7 + 17 + 616 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48171789 + ... + 48172851.

It is an arithmetic number, because the mean of its divisors is an integer number (313997040).

Almost surely, 2^51207176160 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 51207176160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105503005440).

51207176160 is an abundant number, since it is smaller than the sum of its proper divisors (159798834720).

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

51207176160 is a wasteful number, since it uses less digits than its factorization.

51207176160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 51207176160 in words is "fifty-one billion, two hundred seven million, one hundred seventy-six thousand, one hundred sixty".