51958368 has 288 divisors, whose sum is σ = 193052160. Its totient is φ = 13305600.

The previous prime is 51958327. The next prime is 51958381. The reversal of 51958368 is 86385915.

51958368 is a `hidden beast` number, since 5 + 1 + 9 + 583 + 68 = 666.

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, 731773 + ... + 731843.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^51958368 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 51958368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

51958368 is an abundant number, since it is smaller than the sum of its proper divisors (141093792).

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

51958368 is a wasteful number, since it uses less digits than its factorization.

51958368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 51958368 is about 7208.2153130994. The cubic root of 51958368 is about 373.1514788916.

It can be divided in two parts, 51958 and 368, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 51958368 in words is "fifty-one million, nine hundred fifty-eight thousand, three hundred sixty-eight".