51797535840 has 288 divisors, whose sum is σ = 179083457280. Its totient is φ = 13632095232.

The previous prime is 51797535827. The next prime is 51797535863. The reversal of 51797535840 is 4853579715.

51797535840 is a `hidden beast` number, since 5 + 1 + 7 + 9 + 7 + 53 + 584 + 0 = 666.

51797535840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 58395877 + ... + 58396763.

It is an arithmetic number, because the mean of its divisors is an integer number (621817560).

Almost surely, 2^51797535840 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 51797535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89541728640).

51797535840 is an abundant number, since it is smaller than the sum of its proper divisors (127285921440).

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

51797535840 is a wasteful number, since it uses less digits than its factorization.

51797535840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 51797535840 in words is "fifty-one billion, seven hundred ninety-seven million, five hundred thirty-five thousand, eight hundred forty".