51504633180 has 576 divisors, whose sum is σ = 216554397696. Its totient is φ = 9559296000.

The previous prime is 51504633161. The next prime is 51504633203. The reversal of 51504633180 is 8133640515.

51504633180 is a `hidden beast` number, since 5 + 1 + 5 + 0 + 4 + 633 + 18 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 5580970 + ... + 5590190.

It is an arithmetic number, because the mean of its divisors is an integer number (375962496).

Almost surely, 2^51504633180 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 51504633180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108277198848).

51504633180 is an abundant number, since it is smaller than the sum of its proper divisors (165049764516).

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

51504633180 is a wasteful number, since it uses less digits than its factorization.

51504633180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 51504633180 in words is "fifty-one billion, five hundred four million, six hundred thirty-three thousand, one hundred eighty".