51916105728 has 288 divisors, whose sum is σ = 158454616320. Its totient is φ = 16349921280.

The previous prime is 51916105711. The next prime is 51916105739. The reversal of 51916105728 is 82750161915.

51916105728 is a `hidden beast` number, since 5 + 1 + 9 + 1 + 610 + 5 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24568800 + ... + 24570912.

It is an arithmetic number, because the mean of its divisors is an integer number (550189640).

Almost surely, 2^51916105728 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 51916105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79227308160).

51916105728 is an abundant number, since it is smaller than the sum of its proper divisors (106538510592).

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

51916105728 is a wasteful number, since it uses less digits than its factorization.

51916105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 51916105728 in words is "fifty-one billion, nine hundred sixteen million, one hundred five thousand, seven hundred twenty-eight".