55126400 has 192 divisors, whose sum is σ = 163918080. Its totient is φ = 17909760.

The previous prime is 55126399. The next prime is 55126403. The reversal of 55126400 is 462155.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55126403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515147 + ... + 515253.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 2^55126400 is an apocalyptic number.

55126400 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 55126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

55126400 is an abundant number, since it is smaller than the sum of its proper divisors (108791680).

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

55126400 is a wasteful number, since it uses less digits than its factorization.

55126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 55126400 is about 7424.7154827643. The cubic root of 55126400 is about 380.5863523915.

Adding to 55126400 its reverse (462155), we get a palindrome (55588555).

The spelling of 55126400 in words is "fifty-five million, one hundred twenty-six thousand, four hundred".