51485760 has 224 divisors, whose sum is σ = 186537600. Its totient is φ = 13363200.

The previous prime is 51485747. The next prime is 51485767. The reversal of 51485760 is 6758415.

51485760 is a `hidden beast` number, since 514 + 85 + 7 + 60 = 666.

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

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (51485767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509710 + ... + 509810.

Almost surely, 2^51485760 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 51485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93268800).

51485760 is an abundant number, since it is smaller than the sum of its proper divisors (135051840).

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

51485760 is a wasteful number, since it uses less digits than its factorization.

51485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 51485760 is about 7175.3578307984. The cubic root of 51485760 is about 372.0166485785.

The spelling of 51485760 in words is "fifty-one million, four hundred eighty-five thousand, seven hundred sixty".