51857280 has 128 divisors (see below), whose sum is σ = 183722400. Its totient is φ = 13824000.

The previous prime is 51857261. The next prime is 51857287. The reversal of 51857280 is 8275815.

51857280 is a `hidden beast` number, since 5 + 1 + 8 + 572 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51857287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15780 + ... + 18780.

Almost surely, 2^51857280 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 51857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91861200).

51857280 is an abundant number, since it is smaller than the sum of its proper divisors (131865120).

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

51857280 is a wasteful number, since it uses less digits than its factorization.

51857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 51857280 is about 7201.1999000167. The cubic root of 51857280 is about 372.9093258788.

The spelling of 51857280 in words is "fifty-one million, eight hundred fifty-seven thousand, two hundred eighty".