51905880288 has 144 divisors (see below), whose sum is σ = 150053183280. Its totient is φ = 17016625152.

The previous prime is 51905880281. The next prime is 51905880391. The reversal of 51905880288 is 88208850915.

It is a happy number.

51905880288 is a `hidden beast` number, since 51 + 9 + 0 + 588 + 0 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51905880281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7838643 + ... + 7845261.

It is an arithmetic number, because the mean of its divisors is an integer number (1042035995).

Almost surely, 2^51905880288 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 51905880288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75026591640).

51905880288 is an abundant number, since it is smaller than the sum of its proper divisors (98147302992).

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

51905880288 is a wasteful number, since it uses less digits than its factorization.

51905880288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7081 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 51905880288 in words is "fifty-one billion, nine hundred five million, eight hundred eighty thousand, two hundred eighty-eight".