51759960 has 128 divisors (see below), whose sum is σ = 181716480. Its totient is φ = 11547648.

The previous prime is 51759947. The next prime is 51759973. The reversal of 51759960 is 6995715.

51759960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51759947) and next prime (51759973).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 35404 + ... + 36836.

It is an arithmetic number, because the mean of its divisors is an integer number (1419660).

Almost surely, 2^51759960 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 51759960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90858240).

51759960 is an abundant number, since it is smaller than the sum of its proper divisors (129956520).

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

51759960 is a wasteful number, since it uses less digits than its factorization.

51759960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 51759960 is about 7194.4395195178. The cubic root of 51759960 is about 372.6759014882.

The spelling of 51759960 in words is "fifty-one million, seven hundred fifty-nine thousand, nine hundred sixty".