51347829960 has 256 divisors, whose sum is σ = 195779289600. Its totient is φ = 11726539776.

The previous prime is 51347829959. The next prime is 51347829961. The reversal of 51347829960 is 6992874315.

51347829960 is a `hidden beast` number, since 5 + 1 + 347 + 8 + 299 + 6 + 0 = 666.

51347829960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51347829959) and next prime (51347829961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 51347829897 and 51347829906.

It is not an unprimeable number, because it can be changed into a prime (51347829961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12071194 + ... + 12075446.

It is an arithmetic number, because the mean of its divisors is an integer number (764762850).

It is a 1-persistent number, because it is pandigital, but 2⋅51347829960 = 102695659920 is not.

Almost surely, 2^51347829960 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 51347829960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97889644800).

51347829960 is an abundant number, since it is smaller than the sum of its proper divisors (144431459640).

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

51347829960 is a wasteful number, since it uses less digits than its factorization.

51347829960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 51347829960 in words is "fifty-one billion, three hundred forty-seven million, eight hundred twenty-nine thousand, nine hundred sixty".