51180106320 has 240 divisors, whose sum is σ = 196675090560. Its totient is φ = 11683961856.

The previous prime is 51180106319. The next prime is 51180106343. The reversal of 51180106320 is 2360108115.

51180106320 is a `hidden beast` number, since 5 + 1 + 18 + 0 + 10 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4414291 + ... + 4425869.

It is an arithmetic number, because the mean of its divisors is an integer number (819479544).

Almost surely, 2^51180106320 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 51180106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98337545280).

51180106320 is an abundant number, since it is smaller than the sum of its proper divisors (145494984240).

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

51180106320 is a wasteful number, since it uses less digits than its factorization.

51180106320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12482 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 51180106320 in words is "fifty-one billion, one hundred eighty million, one hundred six thousand, three hundred twenty".