56018400 has 144 divisors (see below), whose sum is σ = 193206384. Its totient is φ = 14049280.

The previous prime is 56018399. The next prime is 56018429. The reversal of 56018400 is 481065.

56018400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56018400² = 6276122277120000, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 40114 + ... + 41486.

It is an arithmetic number, because the mean of its divisors is an integer number (1341711).

Almost surely, 2^56018400 is an apocalyptic number.

56018400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96603192).

56018400 is an abundant number, since it is smaller than the sum of its proper divisors (137187984).

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

56018400 is a wasteful number, since it uses less digits than its factorization.

56018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 56018400 is about 7484.5440742907. The cubic root of 56018400 is about 382.6281342681.

Adding to 56018400 its reverse (481065), we get a palindrome (56499465).

The spelling of 56018400 in words is "fifty-six million, eighteen thousand, four hundred".