51434680752 has 320 divisors, whose sum is σ = 192397685760. Its totient is φ = 12767072256.

The previous prime is 51434680751. The next prime is 51434680813. The reversal of 51434680752 is 25708643415.

51434680752 is a `hidden beast` number, since 514 + 3 + 4 + 6 + 80 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51434680698 and 51434680707.

It is not an unprimeable number, because it can be changed into a prime (51434680751) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 629823 + ... + 706785.

It is an arithmetic number, because the mean of its divisors is an integer number (601242768).

Almost surely, 2^51434680752 is an apocalyptic number.

51434680752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51434680752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96198842880).

51434680752 is an abundant number, since it is smaller than the sum of its proper divisors (140963005008).

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

51434680752 is a wasteful number, since it uses less digits than its factorization.

51434680752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77017 (or 77005 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 51434680752 in words is "fifty-one billion, four hundred thirty-four million, six hundred eighty thousand, seven hundred fifty-two".