51975727440 has 320 divisors, whose sum is σ = 199320576000. Its totient is φ = 10910287872.

The previous prime is 51975727403. The next prime is 51975727471. The reversal of 51975727440 is 4472757915.

51975727440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4340181 + ... + 4352139.

It is an arithmetic number, because the mean of its divisors is an integer number (622876800).

Almost surely, 2^51975727440 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 51975727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99660288000).

51975727440 is an abundant number, since it is smaller than the sum of its proper divisors (147344848560).

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

51975727440 is a wasteful number, since it uses less digits than its factorization.

51975727440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12194 (or 12188 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 51975727440 in words is "fifty-one billion, nine hundred seventy-five million, seven hundred twenty-seven thousand, four hundred forty".