51659829312 has 224 divisors, whose sum is σ = 168426042624. Its totient is φ = 13608345600.

The previous prime is 51659829307. The next prime is 51659829341. The reversal of 51659829312 is 21392895615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24127762 + ... + 24129902.

It is an arithmetic number, because the mean of its divisors is an integer number (751901976).

Almost surely, 2^51659829312 is an apocalyptic number.

51659829312 is a gapful number since it is divisible by the number (52) 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 51659829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84213021312).

51659829312 is an abundant number, since it is smaller than the sum of its proper divisors (116766213312).

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

51659829312 is a wasteful number, since it uses less digits than its factorization.

51659829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3547 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 51.

The spelling of 51659829312 in words is "fifty-one billion, six hundred fifty-nine million, eight hundred twenty-nine thousand, three hundred twelve".