51585120 has 96 divisors (see below), whose sum is σ = 180563040. Its totient is φ = 13754880.

The previous prime is 51585119. The next prime is 51585143. The reversal of 51585120 is 2158515.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51585120² = 5322049210828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651 + ... + 10290.

It is an arithmetic number, because the mean of its divisors is an integer number (1880865).

Almost surely, 2^51585120 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 51585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90281520).

51585120 is an abundant number, since it is smaller than the sum of its proper divisors (128977920).

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

51585120 is a wasteful number, since it uses less digits than its factorization.

51585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 51585120 is about 7182.2781901010. The cubic root of 51585120 is about 372.2558074033.

The spelling of 51585120 in words is "fifty-one million, five hundred eighty-five thousand, one hundred twenty".