50577120 has 288 divisors, whose sum is σ = 196245504. Its totient is φ = 11750400.

The previous prime is 50577103. The next prime is 50577133. The reversal of 50577120 is 2177505.

50577120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 490989 + ... + 491091.

It is an arithmetic number, because the mean of its divisors is an integer number (681408).

Almost surely, 2^50577120 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 50577120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98122752).

50577120 is an abundant number, since it is smaller than the sum of its proper divisors (145668384).

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

50577120 is a wasteful number, since it uses less digits than its factorization.

50577120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 50577120 is about 7111.7592760160. The cubic root of 50577120 is about 369.8151499345.

The spelling of 50577120 in words is "fifty million, five hundred seventy-seven thousand, one hundred twenty".