55006400 has 84 divisors (see below), whose sum is σ = 139842240. Its totient is φ = 21273600.

The previous prime is 55006381. The next prime is 55006423. The reversal of 55006400 is 460055.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 49046 + ... + 50154.

Almost surely, 2^55006400 is an apocalyptic number.

55006400 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 55006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69921120).

55006400 is an abundant number, since it is smaller than the sum of its proper divisors (84835840).

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

55006400 is a wasteful number, since it uses less digits than its factorization.

55006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 55006400 is about 7416.6299624560. The cubic root of 55006400 is about 380.3099963499.

Adding to 55006400 its reverse (460055), we get a palindrome (55466455).

The spelling of 55006400 in words is "fifty-five million, six thousand, four hundred".