51657760 has 144 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 16074240.

The previous prime is 51657757. The next prime is 51657779. The reversal of 51657760 is 6775615.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85941 + ... + 86539.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^51657760 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 51657760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

51657760 is an abundant number, since it is smaller than the sum of its proper divisors (103473440).

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

51657760 is a wasteful number, since it uses less digits than its factorization.

51657760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 51657760 is about 7187.3333024147. Note that the first 4 decimals coincide. The cubic root of 51657760 is about 372.4304571166.

The spelling of 51657760 in words is "fifty-one million, six hundred fifty-seven thousand, seven hundred sixty".