51658016256 has 960 divisors, whose sum is σ = 196898397696. Its totient is φ = 12651724800.

The previous prime is 51658016209. The next prime is 51658016281. The reversal of 51658016256 is 65261085615.

51658016256 is a `hidden beast` number, since 5 + 1 + 6 + 580 + 1 + 62 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771015135 + ... + 771015201.

Almost surely, 2^51658016256 is an apocalyptic number.

51658016256 is a gapful number since it is divisible by the number (56) 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 51658016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98449198848).

51658016256 is an abundant number, since it is smaller than the sum of its proper divisors (145240381440).

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

51658016256 is a wasteful number, since it uses less digits than its factorization.

51658016256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 51658016256 in words is "fifty-one billion, six hundred fifty-eight million, sixteen thousand, two hundred fifty-six".