51738685440 has 416 divisors, whose sum is σ = 179706084096. Its totient is φ = 12634030080.

The previous prime is 51738685423. The next prime is 51738685477. The reversal of 51738685440 is 4458683715.

It is a tau number, because it is divible by the number of its divisors (416).

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, 168529767 + ... + 168530073.

Almost surely, 2^51738685440 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 51738685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89853042048).

51738685440 is an abundant number, since it is smaller than the sum of its proper divisors (127967398656).

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

51738685440 is a wasteful number, since it uses less digits than its factorization.

51738685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 51738685440 in words is "fifty-one billion, seven hundred thirty-eight million, six hundred eighty-five thousand, four hundred forty".