55401600 has 192 divisors, whose sum is σ = 189720000. Its totient is φ = 14192640.

The previous prime is 55401583. The next prime is 55401601. The reversal of 55401600 is 610455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (55401601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 278301 + ... + 278499.

It is an arithmetic number, because the mean of its divisors is an integer number (988125).

Almost surely, 2^55401600 is an apocalyptic number.

55401600 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 55401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94860000).

55401600 is an abundant number, since it is smaller than the sum of its proper divisors (134318400).

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

55401600 is a wasteful number, since it uses less digits than its factorization.

55401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55401600 is about 7443.2251074383. The cubic root of 55401600 is about 381.2186178594.

It can be divided in two parts, 5540 and 1600, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 55401600 in words is "fifty-five million, four hundred one thousand, six hundred".