55986400 has 72 divisors (see below), whose sum is σ = 139678560. Its totient is φ = 21903360.

The previous prime is 55986379. The next prime is 55986419. The reversal of 55986400 is 468955.

It is a self number, because there is not a number n which added to its sum of digits gives 55986400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 36856 + ... + 38344.

It is an arithmetic number, because the mean of its divisors is an integer number (1939980).

Almost surely, 2^55986400 is an apocalyptic number.

55986400 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 55986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69839280).

55986400 is an abundant number, since it is smaller than the sum of its proper divisors (83692160).

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

55986400 is a wasteful number, since it uses less digits than its factorization.

55986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 55986400 is about 7482.4060301483. The cubic root of 55986400 is about 382.5552627802. Note that the first 3 decimals are identical.

The spelling of 55986400 in words is "fifty-five million, nine hundred eighty-six thousand, four hundred".