57551120 has 80 divisors (see below), whose sum is σ = 154597248. Its totient is φ = 19691520.

The previous prime is 57551111. The next prime is 57551149. The reversal of 57551120 is 2115575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 57551120.

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, 13037 + ... + 16883.

Almost surely, 2^57551120 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 57551120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77298624).

57551120 is an abundant number, since it is smaller than the sum of its proper divisors (97046128).

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

57551120 is a wasteful number, since it uses less digits than its factorization.

57551120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

The square root of 57551120 is about 7586.2454481779. The cubic root of 57551120 is about 386.0864795900.

Adding to 57551120 its reverse (2115575), we get a palindrome (59666695).

The spelling of 57551120 in words is "fifty-seven million, five hundred fifty-one thousand, one hundred twenty".