50585760 has 72 divisors (see below), whose sum is σ = 172628820. Its totient is φ = 13489152.

The previous prime is 50585713. The next prime is 50585767. The reversal of 50585760 is 6758505.

50585760 is a `hidden beast` number, since 5 + 0 + 585 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44997264 + 5588496 = 6708^2 + 2364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×50585760² = 5117838229555200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (50585767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16125 + ... + 19004.

Almost surely, 2^50585760 is an apocalyptic number.

It is an amenable number.

50585760 is an abundant number, since it is smaller than the sum of its proper divisors (122043060).

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

50585760 is a wasteful number, since it uses less digits than its factorization.

50585760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35150 (or 35139 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 50585760 is about 7112.3666947086. The cubic root of 50585760 is about 369.8362070250.

The spelling of 50585760 in words is "fifty million, five hundred eighty-five thousand, seven hundred sixty".