51506514673920 has 864 divisors, whose sum is σ = 184779022296960. Its totient is φ = 13236163706880.

The previous prime is 51506514673891. The next prime is 51506514673951. The reversal of 51506514673920 is 2937641560515.

51506514673920 is a `hidden beast` number, since 5 + 1 + 50 + 6 + 514 + 6 + 73 + 9 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 34778199580 + ... + 34778201060.

It is an arithmetic number, because the mean of its divisors is an integer number (213864609140).

Almost surely, 2^{51506514673920} 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 51506514673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92389511148480).

51506514673920 is an abundant number, since it is smaller than the sum of its proper divisors (133272507623040).

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

51506514673920 is a wasteful number, since it uses less digits than its factorization.

51506514673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 51506514673920 in words is "fifty-one trillion, five hundred six billion, five hundred fourteen million, six hundred seventy-three thousand, nine hundred twenty".