51585960 has 64 divisors (see below), whose sum is σ = 157697280. Its totient is φ = 13495040.

The previous prime is 51585949. The next prime is 51585991. The reversal of 51585960 is 6958515.

It is a super-2 number, since 2×51585960² = 5322222538243200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2305 + ... + 10415.

It is an arithmetic number, because the mean of its divisors is an integer number (2464020).

Almost surely, 2^51585960 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 51585960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78848640).

51585960 is an abundant number, since it is smaller than the sum of its proper divisors (106111320).

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

51585960 is a wasteful number, since it uses less digits than its factorization.

51585960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8174 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 51585960 is about 7182.3366671300. The cubic root of 51585960 is about 372.2578279678.

The spelling of 51585960 in words is "fifty-one million, five hundred eighty-five thousand, nine hundred sixty".