51430283760 has 240 divisors, whose sum is σ = 168717772800. Its totient is φ = 12958133760.

The previous prime is 51430283743. The next prime is 51430283791. The reversal of 51430283760 is 6738203415.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51896865 + ... + 51897855.

It is an arithmetic number, because the mean of its divisors is an integer number (702990720).

Almost surely, 2^51430283760 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 51430283760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84358886400).

51430283760 is an abundant number, since it is smaller than the sum of its proper divisors (117287489040).

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

51430283760 is a wasteful number, since it uses less digits than its factorization.

51430283760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 51430283760 in words is "fifty-one billion, four hundred thirty million, two hundred eighty-three thousand, seven hundred sixty".