51729853056 has 128 divisors (see below), whose sum is σ = 158802249600. Its totient is φ = 14613823488.

The previous prime is 51729853051. The next prime is 51729853103. The reversal of 51729853056 is 65035892715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-5 number, since 5×51729853056⁵ (a number of 55 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (51729853051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131116 + ... + 347348.

It is an arithmetic number, because the mean of its divisors is an integer number (1240642575).

Almost surely, 2^51729853056 is an apocalyptic number.

51729853056 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 51729853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79401124800).

51729853056 is an abundant number, since it is smaller than the sum of its proper divisors (107072396544).

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

51729853056 is a wasteful number, since it uses less digits than its factorization.

51729853056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216346 (or 216334 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 51729853056 in words is "fifty-one billion, seven hundred twenty-nine million, eight hundred fifty-three thousand, fifty-six".