56012800 has 78 divisors (see below), whose sum is σ = 139148708. Its totient is φ = 22364160.

The previous prime is 56012791. The next prime is 56012809. The reversal of 56012800 is 821065.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56012791) and next prime (56012809).

It is not an unprimeable number, because it can be changed into a prime (56012809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102127 + ... + 102673.

Almost surely, 2^56012800 is an apocalyptic number.

56012800 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 56012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69574354).

56012800 is an abundant number, since it is smaller than the sum of its proper divisors (83135908).

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

56012800 is an equidigital number, since it uses as much as digits as its factorization.

56012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 56012800 is about 7484.1699606570. The cubic root of 56012800 is about 382.6153837614.

Adding to 56012800 its reverse (821065), we get a palindrome (56833865).

It can be divided in two parts, 5601 and 2800, that multiplied together give a triangular number (15682800 = T₅₆₀₀).

The spelling of 56012800 in words is "fifty-six million, twelve thousand, eight hundred".