51719760 has 120 divisors (see below), whose sum is σ = 179754120. Its totient is φ = 13310976.

The previous prime is 51719741. The next prime is 51719791. The reversal of 51719760 is 6791715.

It can be written as a sum of positive squares in 4 ways, for example, as 5588496 + 46131264 = 2364^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19642 + ... + 22118.

It is an arithmetic number, because the mean of its divisors is an integer number (1497951).

Almost surely, 2^51719760 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 51719760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89877060).

51719760 is an abundant number, since it is smaller than the sum of its proper divisors (128034360).

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

51719760 is a wasteful number, since it uses less digits than its factorization.

51719760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 51719760 is about 7191.6451525364. The cubic root of 51719760 is about 372.5793954151.

The spelling of 51719760 in words is "fifty-one million, seven hundred nineteen thousand, seven hundred sixty".