51175566972 has 72 divisors (see below), whose sum is σ = 131230414224. Its totient is φ = 16812285696.

The previous prime is 51175566961. The next prime is 51175566977. The reversal of 51175566972 is 27966557115.

51175566972 is a `hidden beast` number, since 5 + 1 + 1 + 7 + 5 + 566 + 9 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51175566977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3917083 + ... + 3930125.

It is an arithmetic number, because the mean of its divisors is an integer number (1822644642).

Almost surely, 2^51175566972 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 51175566972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65615207112).

51175566972 is an abundant number, since it is smaller than the sum of its proper divisors (80054847252).

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

51175566972 is a wasteful number, since it uses less digits than its factorization.

51175566972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14619 (or 14614 counting only the distinct ones).

The product of its digits is 3969000, while the sum is 54.

The spelling of 51175566972 in words is "fifty-one billion, one hundred seventy-five million, five hundred sixty-six thousand, nine hundred seventy-two".