51211264608 has 384 divisors, whose sum is σ = 175028797440. Its totient is φ = 14265538560.

The previous prime is 51211264603. The next prime is 51211264631. The reversal of 51211264608 is 80646211215.

It is a happy number.

51211264608 is a `hidden beast` number, since 5 + 1 + 2 + 1 + 1 + 2 + 646 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51211264603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46853310 + ... + 46854402.

It is an arithmetic number, because the mean of its divisors is an integer number (455804160).

Almost surely, 2^51211264608 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 51211264608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87514398720).

51211264608 is an abundant number, since it is smaller than the sum of its proper divisors (123817532832).

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

51211264608 is a wasteful number, since it uses less digits than its factorization.

51211264608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 51211264608 in words is "fifty-one billion, two hundred eleven million, two hundred sixty-four thousand, six hundred eight".