56114800 has 120 divisors (see below), whose sum is σ = 157604000. Its totient is φ = 19192320.

The previous prime is 56114777. The next prime is 56114813. The reversal of 56114800 is 841165.

56114800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 136996 + ... + 137404.

Almost surely, 2^56114800 is an apocalyptic number.

56114800 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 56114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78802000).

56114800 is an abundant number, since it is smaller than the sum of its proper divisors (101489200).

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

56114800 is a wasteful number, since it uses less digits than its factorization.

56114800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 56114800 is about 7490.9812441362. The cubic root of 56114800 is about 382.8474920395.

Adding to 56114800 its reverse (841165), we get a palindrome (56955965).

The spelling of 56114800 in words is "fifty-six million, one hundred fourteen thousand, eight hundred".