56181120 has 128 divisors (see below), whose sum is σ = 185436000. Its totient is φ = 14450688.

The previous prime is 56181109. The next prime is 56181127. The reversal of 56181120 is 2118165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56181127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55176 + ... + 56184.

Almost surely, 2^56181120 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 56181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92718000).

56181120 is an abundant number, since it is smaller than the sum of its proper divisors (129254880).

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

56181120 is a wasteful number, since it uses less digits than its factorization.

56181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 56181120 is about 7495.4065933744. The cubic root of 56181120 is about 382.9982570756.

Adding to 56181120 its reverse (2118165), we get a palindrome (58299285).

The spelling of 56181120 in words is "fifty-six million, one hundred eighty-one thousand, one hundred twenty".