51854160 has 80 divisors (see below), whose sum is σ = 164203776. Its totient is φ = 13530624.

The previous prime is 51854141. The next prime is 51854191. The reversal of 51854160 is 6145815.

51854160 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8982 + ... + 13578.

Almost surely, 2^51854160 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 51854160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82101888).

51854160 is an abundant number, since it is smaller than the sum of its proper divisors (112349616).

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

51854160 is a wasteful number, since it uses less digits than its factorization.

51854160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 51854160 is about 7200.9832661936. The cubic root of 51854160 is about 372.9018470161.

Adding to 51854160 its reverse (6145815), we get a palindrome (57999975).

The spelling of 51854160 in words is "fifty-one million, eight hundred fifty-four thousand, one hundred sixty".