51483168 has 96 divisors (see below), whose sum is σ = 163840320. Its totient is φ = 15598080.

The previous prime is 51483137. The next prime is 51483181. The reversal of 51483168 is 86138415.

51483168 is a `hidden beast` number, since 514 + 83 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6796 + ... + 12212.

It is an arithmetic number, because the mean of its divisors is an integer number (1706670).

Almost surely, 2^51483168 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 51483168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81920160).

51483168 is an abundant number, since it is smaller than the sum of its proper divisors (112357152).

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

51483168 is a wasteful number, since it uses less digits than its factorization.

51483168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5433 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 51483168 is about 7175.1772103552. The cubic root of 51483168 is about 372.0104055362.

The spelling of 51483168 in words is "fifty-one million, four hundred eighty-three thousand, one hundred sixty-eight".