51041729648 has 240 divisors, whose sum is σ = 129695198976. Its totient is φ = 19264573440.

The previous prime is 51041729633. The next prime is 51041729657. The reversal of 51041729648 is 84692714015.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23063390 + ... + 23065602.

Almost surely, 2^51041729648 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 51041729648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64847599488).

51041729648 is an abundant number, since it is smaller than the sum of its proper divisors (78653469328).

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

51041729648 is a wasteful number, since it uses less digits than its factorization.

51041729648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 51041729648 in words is "fifty-one billion, forty-one million, seven hundred twenty-nine thousand, six hundred forty-eight".