51430422528 has 480 divisors, whose sum is σ = 161919838080. Its totient is φ = 16243752960.

The previous prime is 51430422499. The next prime is 51430422569. The reversal of 51430422528 is 82522403415.

51430422528 is a `hidden beast` number, since 51 + 43 + 0 + 42 + 2 + 528 = 666.

It is a super-2 number, since 2×51430422528² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 51430422492 and 51430422501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375404476 + ... + 375404612.

It is an arithmetic number, because the mean of its divisors is an integer number (337332996).

Almost surely, 2^51430422528 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 51430422528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80959919040).

51430422528 is an abundant number, since it is smaller than the sum of its proper divisors (110489415552).

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

51430422528 is a wasteful number, since it uses less digits than its factorization.

51430422528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 51430422528 in words is "fifty-one billion, four hundred thirty million, four hundred twenty-two thousand, five hundred twenty-eight".