51180923520 has 512 divisors, whose sum is σ = 195247584000. Its totient is φ = 12623413248.

The previous prime is 51180923491. The next prime is 51180923543. The reversal of 51180923520 is 2532908115.

51180923520 is a `hidden beast` number, since 51 + 1 + 80 + 9 + 2 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17330364 + ... + 17333316.

Almost surely, 2^51180923520 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 51180923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97623792000).

51180923520 is an abundant number, since it is smaller than the sum of its proper divisors (144066660480).

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

51180923520 is a wasteful number, since it uses less digits than its factorization.

51180923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 51180923520 in words is "fifty-one billion, one hundred eighty million, nine hundred twenty-three thousand, five hundred twenty".